TSTP Solution File: ALG160+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG160+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:39:04 EDT 2023
% Result : Unsatisfiable 29.83s 4.86s
% Output : Proof 197.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG160+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 03:22:09 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 6.34/1.63 Prover 4: Preprocessing ...
% 6.34/1.65 Prover 1: Preprocessing ...
% 6.34/1.65 Prover 5: Preprocessing ...
% 6.34/1.65 Prover 2: Preprocessing ...
% 6.34/1.65 Prover 3: Preprocessing ...
% 6.34/1.65 Prover 6: Preprocessing ...
% 6.34/1.66 Prover 0: Preprocessing ...
% 9.72/2.26 Prover 2: Constructing countermodel ...
% 11.13/2.28 Prover 6: Constructing countermodel ...
% 11.13/2.28 Prover 3: Constructing countermodel ...
% 11.13/2.29 Prover 0: Constructing countermodel ...
% 11.13/2.29 Prover 1: Constructing countermodel ...
% 11.13/2.33 Prover 4: Constructing countermodel ...
% 13.25/2.63 Prover 5: Constructing countermodel ...
% 29.83/4.85 Prover 3: proved (4218ms)
% 29.83/4.86
% 29.83/4.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.83/4.86
% 29.83/4.86 Prover 0: stopped
% 29.83/4.86 Prover 2: stopped
% 29.83/4.86 Prover 6: stopped
% 29.83/4.86 Prover 5: stopped
% 29.83/4.86 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 29.83/4.86 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 29.83/4.86 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 29.83/4.87 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 29.83/4.87 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 32.83/5.20 Prover 7: Preprocessing ...
% 32.83/5.20 Prover 11: Preprocessing ...
% 32.99/5.22 Prover 10: Preprocessing ...
% 32.99/5.27 Prover 13: Preprocessing ...
% 32.99/5.28 Prover 8: Preprocessing ...
% 33.70/5.35 Prover 11: Constructing countermodel ...
% 34.35/5.39 Prover 8: Constructing countermodel ...
% 34.35/5.44 Prover 10: Constructing countermodel ...
% 35.08/5.48 Prover 13: Constructing countermodel ...
% 35.16/5.50 Prover 7: Constructing countermodel ...
% 68.43/9.98 Prover 13: stopped
% 69.06/10.01 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 70.78/10.16 Prover 16: Preprocessing ...
% 71.78/10.33 Prover 16: Constructing countermodel ...
% 111.30/15.56 Prover 16: stopped
% 111.99/15.57 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 113.18/15.73 Prover 19: Preprocessing ...
% 113.90/15.86 Prover 19: Constructing countermodel ...
% 115.09/15.99 Prover 1: stopped
% 139.61/19.34 Prover 19: stopped
% 178.26/26.12 Prover 10: Found proof (size 658363)
% 178.26/26.12 Prover 10: proved (21258ms)
% 178.26/26.13 Prover 4: stopped
% 178.26/26.13 Prover 11: stopped
% 178.26/26.13 Prover 7: stopped
% 178.26/26.13 Prover 8: stopped
% 178.26/26.13
% 178.26/26.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 178.26/26.13
% 181.28/27.00 % SZS output start Proof for theBenchmark
% 181.54/27.18 Assumptions after simplification:
% 181.54/27.18 ---------------------------------
% 181.54/27.18
% 181.54/27.18 (ax1)
% 181.54/27.23 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.54/27.23 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 181.54/27.23 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 181.54/27.23 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 181.54/27.23 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 181.54/27.23 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 181.54/27.23 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 181.54/27.23 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 181.54/27.23 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 181.54/27.23 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 181.54/27.23 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 181.54/27.23 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 181.54/27.23 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 181.54/27.23 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 181.54/27.23 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 181.54/27.23 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 181.54/27.23 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 181.54/27.23 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 181.54/27.23 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 181.54/27.23
% 181.54/27.23 (ax10)
% 181.54/27.24 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.54/27.24 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 181.54/27.24 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 &
% 181.54/27.24 $i(v1))))
% 181.54/27.24
% 181.54/27.24 (ax11)
% 181.81/27.24 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.24 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 181.81/27.24 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 &
% 181.81/27.24 $i(v1))))
% 181.81/27.24
% 181.81/27.24 (ax12)
% 181.81/27.24 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.24 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 181.81/27.24 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 &
% 181.81/27.24 $i(v1))))
% 181.81/27.24
% 181.81/27.24 (ax13)
% 181.81/27.25 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.25 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 181.81/27.25 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 &
% 181.81/27.25 $i(v1))))
% 181.81/27.25
% 181.81/27.25 (ax14)
% 181.81/27.25 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.25 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 181.81/27.25 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 &
% 181.81/27.25 $i(v1))))
% 181.81/27.25
% 181.81/27.25 (ax15)
% 181.81/27.25 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.25 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 181.81/27.25 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 &
% 181.81/27.25 $i(v1))))
% 181.81/27.25
% 181.81/27.25 (ax16)
% 181.81/27.25 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.25 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 181.81/27.25 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 &
% 181.81/27.25 $i(v1))))
% 181.81/27.25
% 181.81/27.25 (ax17)
% 181.81/27.26 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.26 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 181.81/27.26 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 &
% 181.81/27.26 $i(v1))))
% 181.81/27.26
% 181.81/27.26 (ax18)
% 181.81/27.26 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.26 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 181.81/27.26 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 &
% 181.81/27.26 $i(v1))))
% 181.81/27.26
% 181.81/27.26 (ax19)
% 181.81/27.26 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.26 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 181.81/27.26 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 &
% 181.81/27.26 $i(v1))))
% 181.81/27.26
% 181.81/27.26 (ax2)
% 181.81/27.29 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.29 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 181.81/27.29 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 181.81/27.29 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 181.81/27.29 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 181.81/27.29 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 181.81/27.29 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 181.81/27.29 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 181.81/27.29 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 181.81/27.29 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 181.81/27.29 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 181.81/27.29 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 181.81/27.29 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 181.81/27.29 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 181.81/27.29 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 181.81/27.29 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 181.81/27.29 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 181.81/27.29 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 181.81/27.29 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 181.81/27.29 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 181.81/27.29 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 181.81/27.29 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 181.81/27.29 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 181.81/27.29 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 181.81/27.29 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 181.81/27.29 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 181.81/27.29 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 181.81/27.29 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 181.81/27.29 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 181.81/27.29 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 181.81/27.29 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 181.81/27.29 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 181.81/27.29 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 181.81/27.29 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 181.81/27.29 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 181.81/27.29 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 181.81/27.29 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 181.81/27.29 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 181.81/27.29 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 181.81/27.29 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 181.81/27.29 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 181.81/27.29 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 181.81/27.29 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 181.81/27.29 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 181.81/27.29 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 181.81/27.29 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 181.81/27.29 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 181.81/27.29 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 181.81/27.29 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 181.81/27.29 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 181.81/27.29 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 181.81/27.29 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 181.81/27.29 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 181.81/27.29 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 181.81/27.29 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 181.81/27.29 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 181.81/27.29 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 181.81/27.29 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 181.81/27.29 (v1 = e0 & op(e0, e1) = e0)))))
% 181.81/27.29
% 181.81/27.29 (ax20)
% 181.81/27.29 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.29 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 181.81/27.29 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 &
% 181.81/27.29 $i(v1))))
% 181.81/27.29
% 181.81/27.29 (ax21)
% 181.81/27.29 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.29 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 181.81/27.29 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 &
% 181.81/27.29 $i(v1))))
% 181.81/27.29
% 181.81/27.29 (ax22)
% 181.81/27.30 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 181.81/27.30 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 181.81/27.30 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 &
% 181.81/27.30 $i(v1))))
% 181.81/27.30
% 181.81/27.30 (ax23)
% 182.10/27.30 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.30 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 182.10/27.30 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 &
% 182.10/27.30 $i(v1))))
% 182.10/27.30
% 182.10/27.30 (ax24)
% 182.10/27.30 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.30 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 182.10/27.30 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 &
% 182.10/27.30 $i(v1))))
% 182.10/27.30
% 182.10/27.30 (ax25)
% 182.10/27.30 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.30 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 182.10/27.30 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 &
% 182.10/27.30 $i(v1))))
% 182.10/27.30
% 182.10/27.30 (ax26)
% 182.10/27.30 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.30 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 182.10/27.30 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 &
% 182.10/27.30 $i(v1))))
% 182.10/27.30
% 182.10/27.30 (ax27)
% 182.10/27.30 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.30 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 182.10/27.30 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 &
% 182.10/27.30 $i(v1))))
% 182.10/27.30
% 182.10/27.30 (ax28)
% 182.10/27.30 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.30 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 182.10/27.30 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 &
% 182.10/27.30 $i(v1))))
% 182.10/27.30
% 182.10/27.30 (ax29)
% 182.10/27.31 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.31 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 182.10/27.31 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 &
% 182.10/27.31 $i(v1))))
% 182.10/27.31
% 182.10/27.31 (ax3)
% 182.10/27.31 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.31 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 182.10/27.31 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 182.10/27.31 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 182.10/27.31 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 182.10/27.31 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 182.10/27.31 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 182.10/27.31 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 182.10/27.31 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 182.10/27.31 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 182.10/27.31 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 182.10/27.31 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 182.10/27.31 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 182.10/27.31 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 182.10/27.31 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 182.10/27.31 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 182.10/27.31 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 182.10/27.31 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 182.10/27.31 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 182.10/27.31 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 182.10/27.31
% 182.10/27.31 (ax4)
% 182.10/27.31 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 182.10/27.31 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 182.10/27.31
% 182.10/27.31 (ax5)
% 182.10/27.35 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.35 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 182.10/27.35 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 182.10/27.35 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & v12 = e3 & v5 = e2 &
% 182.10/27.35 op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = v3 &
% 182.10/27.35 $i(v3) & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) =
% 182.10/27.35 v11 & $i(v11))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 = e0) &
% 182.10/27.35 op(e0, e2) = v10 & $i(v10)))) | (v15 = e2 & v12 = e2 & v3 = e3 &
% 182.10/27.35 op(e3, e3) = v5 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 182.10/27.35 $i(v5) & ((v1 = e3 & op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) =
% 182.10/27.35 v14 & $i(v14))) & ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) &
% 182.10/27.35 op(e0, e3) = v13 & $i(v13)))) | (v14 = e3 & v9 = e3 & v5 = e1 &
% 182.10/27.35 op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = v1 &
% 182.10/27.35 $i(v1) & ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8
% 182.10/27.35 & $i(v8))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0,
% 182.10/27.35 e1) = v7 & $i(v7)))) | (v14 = e1 & v9 = e1 & v1 = e3 & op(e3, e3)
% 182.10/27.35 = v5 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(v5) &
% 182.10/27.35 ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 &
% 182.10/27.35 $i(v15))) & ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0,
% 182.10/27.35 e3) = v13 & $i(v13)))) | (v13 = e3 & v6 = e3 & v5 = e0 & op(e3,
% 182.10/27.35 e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = v0 &
% 182.10/27.35 $i(v0) & ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4
% 182.10/27.35 & $i(v4))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1,
% 182.10/27.35 e0) = v2 & $i(v2)))) | (v13 = e0 & v6 = e0 & v0 = e3 & op(e3, e3)
% 182.10/27.35 = v5 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(v5) &
% 182.10/27.35 ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 &
% 182.10/27.35 $i(v15))) & ((v1 = e3 & op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1,
% 182.10/27.35 e3) = v14 & $i(v14)))) | (v11 = e2 & v8 = e2 & v3 = e1 & op(e2,
% 182.10/27.35 e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = v1 &
% 182.10/27.35 $i(v1) & ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9
% 182.10/27.35 & $i(v9))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0,
% 182.10/27.35 e1) = v7 & $i(v7)))) | (v11 = e1 & v8 = e1 & v1 = e2 & op(e2, e2)
% 182.10/27.35 = v3 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(v3) &
% 182.10/27.35 ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 &
% 182.10/27.35 $i(v12))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 = e0) & op(e0,
% 182.10/27.35 e2) = v10 & $i(v10)))) | (v10 = e2 & v4 = e2 & v3 = e0 & op(e2,
% 182.10/27.35 e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = v0 &
% 182.10/27.35 $i(v0) & ((v5 = e0 & op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6
% 182.10/27.35 & $i(v6))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1,
% 182.10/27.35 e0) = v2 & $i(v2)))) | (v10 = e0 & v4 = e0 & v0 = e2 & op(e2, e2)
% 182.10/27.35 = v3 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(v3) &
% 182.10/27.35 ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 &
% 182.10/27.35 $i(v12))) & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1,
% 182.10/27.35 e2) = v11 & $i(v11)))) | (v7 = e1 & v2 = e1 & v1 = e0 & op(e1, e1)
% 182.10/27.35 = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = v0 & $i(v0) &
% 182.10/27.35 ((v5 = e0 & op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 &
% 182.10/27.35 $i(v6))) & ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0)
% 182.10/27.35 = v4 & $i(v4)))) | (v7 = e0 & v2 = e0 & v0 = e1 & op(e1, e1) = v1 &
% 182.10/27.35 op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(v1) & ((v5 = e1
% 182.10/27.35 & op(e3, e3) = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 & $i(v9))) &
% 182.10/27.35 ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 &
% 182.10/27.35 $i(v8)))) | (v5 = e3 & op(e3, e3) = e3 & ((v3 = e3 & op(e2, e2) =
% 182.10/27.35 e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 & $i(v15))) & ((v1 = e3 &
% 182.10/27.35 op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))) &
% 182.10/27.35 ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 &
% 182.10/27.35 $i(v13)))) | (v3 = e2 & op(e2, e2) = e2 & ((v5 = e2 & op(e3, e3) =
% 182.10/27.35 e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 & $i(v12))) & ((v1 = e2 &
% 182.10/27.35 op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) = v11 & $i(v11))) &
% 182.10/27.35 ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 &
% 182.10/27.35 $i(v10)))) | (v1 = e1 & op(e1, e1) = e1 & ((v5 = e1 & op(e3, e3) =
% 182.10/27.35 e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 & $i(v9))) & ((v3 = e1 &
% 182.10/27.35 op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8))) & ((v0
% 182.10/27.35 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0, e1) = v7 &
% 182.10/27.35 $i(v7)))) | (v0 = e0 & op(e0, e0) = e0 & ((v5 = e0 & op(e3, e3) =
% 182.10/27.35 e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 & $i(v6))) & ((v3 = e0 &
% 182.10/27.35 op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 & $i(v4))) & ((v1
% 182.10/27.35 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1, e0) = v2 &
% 182.10/27.35 $i(v2))))) & ((v15 = e2 & v1 = e3 & ~ (v14 = e1) & ~ (v3 = e3) &
% 182.10/27.35 op(e2, e3) = e2 & op(e2, e2) = v3 & op(e1, e3) = v14 & op(e1, e1) = e3 &
% 182.10/27.35 $i(v14) & $i(v3)) | (v15 = e2 & v0 = e3 & ~ (v13 = e0) & ~ (v3 = e3) &
% 182.10/27.35 op(e2, e3) = e2 & op(e2, e2) = v3 & op(e0, e3) = v13 & op(e0, e0) = e3 &
% 182.10/27.35 $i(v13) & $i(v3)) | (v14 = e1 & v3 = e3 & ~ (v15 = e2) & ~ (v1 = e3) &
% 182.10/27.35 op(e2, e3) = v15 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = v1 &
% 182.10/27.35 $i(v15) & $i(v1)) | (v14 = e1 & v0 = e3 & ~ (v13 = e0) & ~ (v1 = e3) &
% 182.10/27.35 op(e1, e3) = e1 & op(e1, e1) = v1 & op(e0, e3) = v13 & op(e0, e0) = e3 &
% 182.10/27.35 $i(v13) & $i(v1)) | (v12 = e3 & v1 = e2 & ~ (v11 = e1) & ~ (v5 = e2) &
% 182.10/27.35 op(e3, e3) = v5 & op(e3, e2) = e3 & op(e1, e2) = v11 & op(e1, e1) = e2 &
% 182.10/27.35 $i(v11) & $i(v5)) | (v12 = e3 & v0 = e2 & ~ (v10 = e0) & ~ (v5 = e2) &
% 182.10/27.35 op(e3, e3) = v5 & op(e3, e2) = e3 & op(e0, e2) = v10 & op(e0, e0) = e2 &
% 182.10/27.35 $i(v10) & $i(v5)) | (v11 = e1 & v5 = e2 & ~ (v12 = e3) & ~ (v1 = e2) &
% 182.10/27.35 op(e3, e3) = e2 & op(e3, e2) = v12 & op(e1, e2) = e1 & op(e1, e1) = v1 &
% 182.10/27.35 $i(v12) & $i(v1)) | (v11 = e1 & v0 = e2 & ~ (v10 = e0) & ~ (v1 = e2) &
% 182.10/27.35 op(e1, e2) = e1 & op(e1, e1) = v1 & op(e0, e2) = v10 & op(e0, e0) = e2 &
% 182.10/27.35 $i(v10) & $i(v1)) | (v9 = e3 & v3 = e1 & ~ (v8 = e2) & ~ (v5 = e1) &
% 182.10/27.35 op(e3, e3) = v5 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = v8 &
% 182.10/27.35 $i(v8) & $i(v5)) | (v9 = e3 & v0 = e1 & ~ (v7 = e0) & ~ (v5 = e1) &
% 182.10/27.35 op(e3, e3) = v5 & op(e3, e1) = e3 & op(e0, e1) = v7 & op(e0, e0) = e1 &
% 182.10/27.35 $i(v7) & $i(v5)) | (v8 = e2 & v5 = e1 & ~ (v9 = e3) & ~ (v3 = e1) &
% 182.10/27.35 op(e3, e3) = e1 & op(e3, e1) = v9 & op(e2, e2) = v3 & op(e2, e1) = e2 &
% 182.10/27.35 $i(v9) & $i(v3)) | (v8 = e2 & v0 = e1 & ~ (v7 = e0) & ~ (v3 = e1) &
% 182.10/27.35 op(e2, e2) = v3 & op(e2, e1) = e2 & op(e0, e1) = v7 & op(e0, e0) = e1 &
% 182.10/27.35 $i(v7) & $i(v3)) | (v6 = e3 & v3 = e0 & ~ (v5 = e0) & ~ (v4 = e2) &
% 182.10/27.35 op(e3, e3) = v5 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = v4 &
% 182.10/27.35 $i(v5) & $i(v4)) | (v6 = e3 & v1 = e0 & ~ (v5 = e0) & ~ (v2 = e1) &
% 182.10/27.35 op(e3, e3) = v5 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = v2 &
% 182.10/27.35 $i(v5) & $i(v2)) | (v5 = e0 & v4 = e2 & ~ (v6 = e3) & ~ (v3 = e0) &
% 182.10/27.35 op(e3, e3) = e0 & op(e3, e0) = v6 & op(e2, e2) = v3 & op(e2, e0) = e2 &
% 182.10/27.35 $i(v6) & $i(v3)) | (v5 = e0 & v2 = e1 & ~ (v6 = e3) & ~ (v1 = e0) &
% 182.10/27.35 op(e3, e3) = e0 & op(e3, e0) = v6 & op(e1, e1) = v1 & op(e1, e0) = e1 &
% 182.10/27.35 $i(v6) & $i(v1)) | (v4 = e2 & v1 = e0 & ~ (v3 = e0) & ~ (v2 = e1) &
% 182.10/27.35 op(e2, e2) = v3 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = v2 &
% 182.10/27.35 $i(v3) & $i(v2)) | (v3 = e0 & v2 = e1 & ~ (v4 = e2) & ~ (v1 = e0) &
% 182.10/27.35 op(e2, e2) = e0 & op(e2, e0) = v4 & op(e1, e1) = v1 & op(e1, e0) = e1 &
% 182.10/27.35 $i(v4) & $i(v1)) | (op(e0, e0) = v0 & $i(v0) & ((v13 = e0 & v3 = e3 & ~
% 182.10/27.35 (v15 = e2) & ~ (v0 = e3) & op(e2, e3) = v15 & op(e2, e2) = e3 &
% 182.10/27.35 op(e0, e3) = e0 & $i(v15)) | (v13 = e0 & v1 = e3 & ~ (v14 = e1) &
% 182.10/27.35 ~ (v0 = e3) & op(e1, e3) = v14 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 182.10/27.35 $i(v14)) | (v10 = e0 & v5 = e2 & ~ (v12 = e3) & ~ (v0 = e2) &
% 182.10/27.35 op(e3, e3) = e2 & op(e3, e2) = v12 & op(e0, e2) = e0 & $i(v12)) |
% 182.10/27.35 (v10 = e0 & v1 = e2 & ~ (v11 = e1) & ~ (v0 = e2) & op(e1, e2) = v11
% 182.10/27.35 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(v11)) | (v7 = e0 & v5 = e1
% 182.10/27.35 & ~ (v9 = e3) & ~ (v0 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9 &
% 182.10/27.35 op(e0, e1) = e0 & $i(v9)) | (v7 = e0 & v3 = e1 & ~ (v8 = e2) & ~
% 182.10/27.35 (v0 = e1) & op(e2, e2) = e1 & op(e2, e1) = v8 & op(e0, e1) = e0 &
% 182.10/27.35 $i(v8))))))
% 182.10/27.35
% 182.10/27.35 (ax6)
% 182.10/27.35 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.35 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 182.10/27.35 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 &
% 182.10/27.35 $i(v1))))
% 182.10/27.35
% 182.10/27.35 (ax7)
% 182.10/27.35 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.35 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 182.10/27.35 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 &
% 182.10/27.35 $i(v1))))
% 182.10/27.35
% 182.10/27.35 (ax8)
% 182.10/27.35 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.35 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 182.10/27.35 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 &
% 182.10/27.35 $i(v1))))
% 182.10/27.35
% 182.10/27.35 (ax9)
% 182.10/27.35 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 182.10/27.36 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 182.10/27.36 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 &
% 182.10/27.36 $i(v1))))
% 182.10/27.36
% 182.39/27.36 (function-axioms)
% 182.39/27.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 182.39/27.36 v2) = v1) | ~ (op(v3, v2) = v0))
% 182.39/27.36
% 182.39/27.36 Those formulas are unsatisfiable:
% 182.39/27.36 ---------------------------------
% 182.39/27.36
% 182.39/27.36 Begin of proof
% 182.39/27.36 |
% 182.39/27.36 | ALPHA: (ax1) implies:
% 182.39/27.36 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 182.39/27.36 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 182.39/27.36 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 182.39/27.36 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 182.39/27.36 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 182.39/27.36 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 182.39/27.36 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 182.39/27.36 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 182.39/27.36 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 182.39/27.36 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 182.39/27.36 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 182.39/27.36 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 182.39/27.36 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 182.39/27.36 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 182.39/27.36 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 182.39/27.36 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 182.39/27.37 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 182.39/27.37 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 182.39/27.37 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 182.39/27.37 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 182.39/27.37 | = e0))
% 182.39/27.37 |
% 182.39/27.37 | ALPHA: (ax2) implies:
% 182.39/27.38 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 182.39/27.38 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 182.39/27.38 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 182.39/27.38 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 182.39/27.38 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 182.39/27.38 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 182.39/27.38 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 182.39/27.38 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 182.39/27.38 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 182.39/27.38 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 182.39/27.38 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 182.39/27.38 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 182.39/27.38 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 182.39/27.38 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 182.39/27.38 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 182.39/27.38 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 182.39/27.38 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 182.39/27.38 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 182.39/27.38 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 182.39/27.38 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 182.39/27.38 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 182.39/27.38 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 182.39/27.38 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 182.39/27.38 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 182.39/27.38 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 182.39/27.38 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 182.39/27.38 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 182.39/27.38 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 182.39/27.38 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 182.39/27.38 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 182.39/27.38 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 182.39/27.38 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 182.39/27.38 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 182.39/27.38 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 182.39/27.38 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 182.39/27.38 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 182.39/27.38 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 182.39/27.38 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 182.39/27.38 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 182.39/27.38 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 182.39/27.38 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 182.39/27.38 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 182.39/27.38 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 182.39/27.38 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 182.39/27.38 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 182.39/27.38 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 182.39/27.38 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 182.39/27.38 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 182.39/27.38 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 182.39/27.38 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 182.39/27.38 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 182.39/27.38 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 182.39/27.38 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 182.39/27.38 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 182.39/27.38 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 182.39/27.38 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 182.39/27.38 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 182.39/27.38 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 182.39/27.38 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 182.39/27.38 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 182.39/27.38 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 182.39/27.38 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 182.39/27.38 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 182.39/27.38 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 182.39/27.38 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 182.39/27.38 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 182.39/27.38 | op(e0, e1) = e0)))))
% 182.39/27.38 |
% 182.39/27.38 | ALPHA: (ax3) implies:
% 182.39/27.38 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 182.39/27.38 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 182.39/27.38 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 182.39/27.38 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 182.39/27.38 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 182.39/27.38 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 182.39/27.38 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 182.39/27.38 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 182.39/27.38 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 182.39/27.38 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 182.39/27.38 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 182.39/27.38 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 182.39/27.38 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 182.39/27.38 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 182.39/27.38 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 182.39/27.38 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 182.39/27.38 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 182.39/27.38 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 182.39/27.38 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 182.39/27.38 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 182.39/27.38 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 182.39/27.38 |
% 182.39/27.38 | ALPHA: (ax4) implies:
% 182.39/27.39 | (4) ~ (e1 = e0)
% 182.39/27.39 | (5) ~ (e2 = e0)
% 182.39/27.39 | (6) ~ (e2 = e1)
% 182.39/27.39 | (7) ~ (e3 = e0)
% 182.39/27.39 | (8) ~ (e3 = e1)
% 182.39/27.39 | (9) ~ (e3 = e2)
% 182.39/27.39 |
% 182.39/27.39 | ALPHA: (ax5) implies:
% 182.39/27.41 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 182.39/27.41 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 182.39/27.41 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 182.39/27.41 | $i] : ? [v15: $i] : (((v15 = e3 & v12 = e3 & v5 = e2 & op(e3, e3) =
% 182.39/27.41 | e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = v3 &
% 182.39/27.41 | $i(v3) & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1,
% 182.39/27.41 | e2) = v11 & $i(v11))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~
% 182.39/27.41 | (v10 = e0) & op(e0, e2) = v10 & $i(v10)))) | (v15 = e2 & v12
% 182.39/27.41 | = e2 & v3 = e3 & op(e3, e3) = v5 & op(e3, e2) = e2 & op(e2, e3)
% 182.39/27.41 | = e2 & op(e2, e2) = e3 & $i(v5) & ((v1 = e3 & op(e1, e1) = e3) |
% 182.39/27.41 | ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))) & ((v0 = e3 &
% 182.39/27.41 | op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 &
% 182.39/27.41 | $i(v13)))) | (v14 = e3 & v9 = e3 & v5 = e1 & op(e3, e3) = e1
% 182.39/27.41 | & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = v1 & $i(v1) &
% 182.39/27.41 | ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 &
% 182.39/27.41 | $i(v8))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) &
% 182.39/27.41 | op(e0, e1) = v7 & $i(v7)))) | (v14 = e1 & v9 = e1 & v1 = e3
% 182.39/27.41 | & op(e3, e3) = v5 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1,
% 182.39/27.41 | e1) = e3 & $i(v5) & ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 =
% 182.39/27.41 | e2) & op(e2, e3) = v15 & $i(v15))) & ((v0 = e3 & op(e0,
% 182.39/27.41 | e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 & $i(v13))))
% 182.39/27.41 | | (v13 = e3 & v6 = e3 & v5 = e0 & op(e3, e3) = e0 & op(e3, e0) =
% 182.39/27.41 | e3 & op(e0, e3) = e3 & op(e0, e0) = v0 & $i(v0) & ((v3 = e0 &
% 182.39/27.41 | op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 &
% 182.39/27.41 | $i(v4))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) &
% 182.39/27.41 | op(e1, e0) = v2 & $i(v2)))) | (v13 = e0 & v6 = e0 & v0 = e3
% 182.39/27.41 | & op(e3, e3) = v5 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0,
% 182.39/27.41 | e0) = e3 & $i(v5) & ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 =
% 182.39/27.41 | e2) & op(e2, e3) = v15 & $i(v15))) & ((v1 = e3 & op(e1,
% 182.39/27.41 | e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))))
% 182.39/27.41 | | (v11 = e2 & v8 = e2 & v3 = e1 & op(e2, e2) = e1 & op(e2, e1) =
% 182.39/27.41 | e2 & op(e1, e2) = e2 & op(e1, e1) = v1 & $i(v1) & ((v5 = e1 &
% 182.39/27.41 | op(e3, e3) = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 &
% 182.39/27.41 | $i(v9))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) &
% 182.39/27.41 | op(e0, e1) = v7 & $i(v7)))) | (v11 = e1 & v8 = e1 & v1 = e2
% 182.39/27.41 | & op(e2, e2) = v3 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1,
% 182.39/27.41 | e1) = e2 & $i(v3) & ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 =
% 182.39/27.41 | e3) & op(e3, e2) = v12 & $i(v12))) & ((v0 = e2 & op(e0,
% 182.39/27.41 | e0) = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 & $i(v10))))
% 182.39/27.41 | | (v10 = e2 & v4 = e2 & v3 = e0 & op(e2, e2) = e0 & op(e2, e0) =
% 182.39/27.41 | e2 & op(e0, e2) = e2 & op(e0, e0) = v0 & $i(v0) & ((v5 = e0 &
% 182.39/27.41 | op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 &
% 182.39/27.41 | $i(v6))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) &
% 182.39/27.41 | op(e1, e0) = v2 & $i(v2)))) | (v10 = e0 & v4 = e0 & v0 = e2
% 182.39/27.41 | & op(e2, e2) = v3 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 182.39/27.41 | e0) = e2 & $i(v3) & ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 =
% 182.39/27.41 | e3) & op(e3, e2) = v12 & $i(v12))) & ((v1 = e2 & op(e1,
% 182.39/27.41 | e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) = v11 & $i(v11))))
% 182.39/27.41 | | (v7 = e1 & v2 = e1 & v1 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1
% 182.39/27.41 | & op(e0, e1) = e1 & op(e0, e0) = v0 & $i(v0) & ((v5 = e0 &
% 182.39/27.41 | op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 &
% 182.39/27.41 | $i(v6))) & ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) &
% 182.39/27.41 | op(e2, e0) = v4 & $i(v4)))) | (v7 = e0 & v2 = e0 & v0 = e1 &
% 182.39/27.41 | op(e1, e1) = v1 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0)
% 182.39/27.41 | = e1 & $i(v1) & ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) &
% 182.39/27.41 | op(e3, e1) = v9 & $i(v9))) & ((v3 = e1 & op(e2, e2) = e1) |
% 182.39/27.41 | ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8)))) | (v5 = e3 &
% 182.39/27.41 | op(e3, e3) = e3 & ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 = e2)
% 182.39/27.41 | & op(e2, e3) = v15 & $i(v15))) & ((v1 = e3 & op(e1, e1) =
% 182.39/27.41 | e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))) & ((v0 =
% 182.39/27.41 | e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 &
% 182.39/27.41 | $i(v13)))) | (v3 = e2 & op(e2, e2) = e2 & ((v5 = e2 & op(e3,
% 182.39/27.41 | e3) = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 & $i(v12)))
% 182.39/27.41 | & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) =
% 182.39/27.41 | v11 & $i(v11))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 =
% 182.39/27.41 | e0) & op(e0, e2) = v10 & $i(v10)))) | (v1 = e1 & op(e1,
% 182.39/27.41 | e1) = e1 & ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) &
% 182.39/27.41 | op(e3, e1) = v9 & $i(v9))) & ((v3 = e1 & op(e2, e2) = e1) |
% 182.39/27.41 | ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8))) & ((v0 = e1 &
% 182.39/27.41 | op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0, e1) = v7 &
% 182.39/27.41 | $i(v7)))) | (v0 = e0 & op(e0, e0) = e0 & ((v5 = e0 & op(e3,
% 182.39/27.41 | e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 & $i(v6))) &
% 182.39/27.41 | ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 &
% 182.39/27.41 | $i(v4))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) &
% 182.39/27.41 | op(e1, e0) = v2 & $i(v2))))) & ((v15 = e2 & v1 = e3 & ~
% 182.39/27.41 | (v14 = e1) & ~ (v3 = e3) & op(e2, e3) = e2 & op(e2, e2) = v3 &
% 182.39/27.41 | op(e1, e3) = v14 & op(e1, e1) = e3 & $i(v14) & $i(v3)) | (v15 =
% 182.39/27.41 | e2 & v0 = e3 & ~ (v13 = e0) & ~ (v3 = e3) & op(e2, e3) = e2 &
% 182.39/27.41 | op(e2, e2) = v3 & op(e0, e3) = v13 & op(e0, e0) = e3 & $i(v13) &
% 182.39/27.41 | $i(v3)) | (v14 = e1 & v3 = e3 & ~ (v15 = e2) & ~ (v1 = e3) &
% 182.39/27.41 | op(e2, e3) = v15 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 182.39/27.41 | e1) = v1 & $i(v15) & $i(v1)) | (v14 = e1 & v0 = e3 & ~ (v13 =
% 182.39/27.41 | e0) & ~ (v1 = e3) & op(e1, e3) = e1 & op(e1, e1) = v1 &
% 182.39/27.41 | op(e0, e3) = v13 & op(e0, e0) = e3 & $i(v13) & $i(v1)) | (v12 =
% 182.39/27.41 | e3 & v1 = e2 & ~ (v11 = e1) & ~ (v5 = e2) & op(e3, e3) = v5 &
% 182.39/27.41 | op(e3, e2) = e3 & op(e1, e2) = v11 & op(e1, e1) = e2 & $i(v11) &
% 182.39/27.41 | $i(v5)) | (v12 = e3 & v0 = e2 & ~ (v10 = e0) & ~ (v5 = e2) &
% 182.39/27.41 | op(e3, e3) = v5 & op(e3, e2) = e3 & op(e0, e2) = v10 & op(e0,
% 182.39/27.41 | e0) = e2 & $i(v10) & $i(v5)) | (v11 = e1 & v5 = e2 & ~ (v12 =
% 182.39/27.41 | e3) & ~ (v1 = e2) & op(e3, e3) = e2 & op(e3, e2) = v12 &
% 182.39/27.41 | op(e1, e2) = e1 & op(e1, e1) = v1 & $i(v12) & $i(v1)) | (v11 =
% 182.39/27.41 | e1 & v0 = e2 & ~ (v10 = e0) & ~ (v1 = e2) & op(e1, e2) = e1 &
% 182.39/27.41 | op(e1, e1) = v1 & op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) &
% 182.39/27.41 | $i(v1)) | (v9 = e3 & v3 = e1 & ~ (v8 = e2) & ~ (v5 = e1) &
% 182.39/27.41 | op(e3, e3) = v5 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 182.39/27.41 | = v8 & $i(v8) & $i(v5)) | (v9 = e3 & v0 = e1 & ~ (v7 = e0) & ~
% 182.39/27.41 | (v5 = e1) & op(e3, e3) = v5 & op(e3, e1) = e3 & op(e0, e1) = v7
% 182.39/27.41 | & op(e0, e0) = e1 & $i(v7) & $i(v5)) | (v8 = e2 & v5 = e1 & ~
% 182.39/27.41 | (v9 = e3) & ~ (v3 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9 &
% 182.39/27.41 | op(e2, e2) = v3 & op(e2, e1) = e2 & $i(v9) & $i(v3)) | (v8 = e2
% 182.39/27.41 | & v0 = e1 & ~ (v7 = e0) & ~ (v3 = e1) & op(e2, e2) = v3 &
% 182.39/27.41 | op(e2, e1) = e2 & op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) &
% 182.39/27.41 | $i(v3)) | (v6 = e3 & v3 = e0 & ~ (v5 = e0) & ~ (v4 = e2) &
% 182.39/27.41 | op(e3, e3) = v5 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 182.39/27.41 | = v4 & $i(v5) & $i(v4)) | (v6 = e3 & v1 = e0 & ~ (v5 = e0) & ~
% 182.39/27.41 | (v2 = e1) & op(e3, e3) = v5 & op(e3, e0) = e3 & op(e1, e1) = e0
% 182.39/27.41 | & op(e1, e0) = v2 & $i(v5) & $i(v2)) | (v5 = e0 & v4 = e2 & ~
% 182.39/27.41 | (v6 = e3) & ~ (v3 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 &
% 182.39/27.41 | op(e2, e2) = v3 & op(e2, e0) = e2 & $i(v6) & $i(v3)) | (v5 = e0
% 182.39/27.41 | & v2 = e1 & ~ (v6 = e3) & ~ (v1 = e0) & op(e3, e3) = e0 &
% 182.39/27.41 | op(e3, e0) = v6 & op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v6) &
% 182.39/27.41 | $i(v1)) | (v4 = e2 & v1 = e0 & ~ (v3 = e0) & ~ (v2 = e1) &
% 182.39/27.41 | op(e2, e2) = v3 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0)
% 182.39/27.41 | = v2 & $i(v3) & $i(v2)) | (v3 = e0 & v2 = e1 & ~ (v4 = e2) & ~
% 182.39/27.41 | (v1 = e0) & op(e2, e2) = e0 & op(e2, e0) = v4 & op(e1, e1) = v1
% 182.39/27.41 | & op(e1, e0) = e1 & $i(v4) & $i(v1)) | (op(e0, e0) = v0 & $i(v0)
% 182.39/27.41 | & ((v13 = e0 & v3 = e3 & ~ (v15 = e2) & ~ (v0 = e3) & op(e2,
% 182.39/27.41 | e3) = v15 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(v15)) |
% 182.39/27.41 | (v13 = e0 & v1 = e3 & ~ (v14 = e1) & ~ (v0 = e3) & op(e1,
% 182.39/27.41 | e3) = v14 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(v14)) |
% 182.39/27.41 | (v10 = e0 & v5 = e2 & ~ (v12 = e3) & ~ (v0 = e2) & op(e3,
% 182.39/27.41 | e3) = e2 & op(e3, e2) = v12 & op(e0, e2) = e0 & $i(v12)) |
% 182.39/27.41 | (v10 = e0 & v1 = e2 & ~ (v11 = e1) & ~ (v0 = e2) & op(e1,
% 182.39/27.41 | e2) = v11 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(v11)) |
% 182.39/27.41 | (v7 = e0 & v5 = e1 & ~ (v9 = e3) & ~ (v0 = e1) & op(e3, e3)
% 182.39/27.41 | = e1 & op(e3, e1) = v9 & op(e0, e1) = e0 & $i(v9)) | (v7 =
% 182.39/27.41 | e0 & v3 = e1 & ~ (v8 = e2) & ~ (v0 = e1) & op(e2, e2) = e1
% 182.39/27.41 | & op(e2, e1) = v8 & op(e0, e1) = e0 & $i(v8))))))
% 182.39/27.41 |
% 182.39/27.41 | ALPHA: (ax6) implies:
% 182.39/27.41 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.41 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 182.39/27.41 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 182.39/27.41 |
% 182.39/27.41 | ALPHA: (ax7) implies:
% 182.39/27.41 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.41 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 182.39/27.41 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 182.39/27.41 |
% 182.39/27.41 | ALPHA: (ax8) implies:
% 182.39/27.41 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.41 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 182.39/27.41 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 182.39/27.41 |
% 182.39/27.41 | ALPHA: (ax9) implies:
% 182.39/27.41 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.41 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 182.39/27.41 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 182.39/27.41 |
% 182.39/27.41 | ALPHA: (ax10) implies:
% 182.39/27.42 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax11) implies:
% 182.39/27.42 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax12) implies:
% 182.39/27.42 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax13) implies:
% 182.39/27.42 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax14) implies:
% 182.39/27.42 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax15) implies:
% 182.39/27.42 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax16) implies:
% 182.39/27.42 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax17) implies:
% 182.39/27.42 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax18) implies:
% 182.39/27.42 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax19) implies:
% 182.39/27.42 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax20) implies:
% 182.39/27.42 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax21) implies:
% 182.39/27.42 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.42 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 182.39/27.42 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 182.39/27.42 |
% 182.39/27.42 | ALPHA: (ax22) implies:
% 182.39/27.43 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (ax23) implies:
% 182.39/27.43 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (ax24) implies:
% 182.39/27.43 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (ax25) implies:
% 182.39/27.43 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (ax26) implies:
% 182.39/27.43 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (ax27) implies:
% 182.39/27.43 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (ax28) implies:
% 182.39/27.43 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (ax29) implies:
% 182.39/27.43 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.43 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 182.39/27.43 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 182.39/27.43 |
% 182.39/27.43 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 182.39/27.43 | (35) op(e2, e2) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e3) | ( ~ (all_4_0
% 182.39/27.43 | = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1 &
% 182.39/27.43 | $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e2, e3) =
% 182.39/27.43 | all_4_1 & $i(all_4_1)))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (35) implies:
% 182.39/27.43 | (36) op(e2, e2) = all_4_2
% 182.39/27.43 | (37) ~ (all_4_2 = e3) | ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 182.39/27.43 | op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 =
% 182.39/27.43 | e1) & op(e2, e3) = all_4_1 & $i(all_4_1))
% 182.39/27.43 |
% 182.39/27.43 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 182.39/27.43 | (38) op(e3, e3) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e0) | ( ~ (all_6_0
% 182.39/27.43 | = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 182.39/27.43 | $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) =
% 182.39/27.43 | all_6_1 & $i(all_6_1)))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (38) implies:
% 182.39/27.43 | (39) op(e3, e3) = all_6_2
% 182.39/27.43 | (40) ~ (all_6_2 = e0) | ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 &
% 182.39/27.43 | op(e3, e0) = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 =
% 182.39/27.43 | e2) & op(e3, e0) = all_6_1 & $i(all_6_1))
% 182.39/27.43 |
% 182.39/27.43 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 182.39/27.43 | (41) op(e3, e3) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e0) | ( ~ (all_8_0
% 182.39/27.43 | = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 182.39/27.43 | $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) =
% 182.39/27.43 | all_8_1 & $i(all_8_1)))
% 182.39/27.43 |
% 182.39/27.43 | ALPHA: (41) implies:
% 182.39/27.43 | (42) op(e3, e3) = all_8_2
% 182.39/27.44 | (43) ~ (all_8_2 = e0) | ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 182.39/27.44 | op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 =
% 182.39/27.44 | e1) & op(e3, e0) = all_8_1 & $i(all_8_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (44) op(e1, e1) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e2) | ( ~
% 182.39/27.44 | (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 & op(e1, e2) =
% 182.39/27.44 | all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 = e0) &
% 182.39/27.44 | op(e1, e2) = all_10_1 & $i(all_10_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (44) implies:
% 182.39/27.44 | (45) op(e1, e1) = all_10_2
% 182.39/27.44 | (46) ~ (all_10_2 = e2) | ( ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0
% 182.39/27.44 | & op(e1, e2) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 182.39/27.44 | (all_10_1 = e0) & op(e1, e2) = all_10_1 & $i(all_10_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (47) op(e3, e3) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e2) | ( ~
% 182.39/27.44 | (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) =
% 182.39/27.44 | all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) &
% 182.39/27.44 | op(e3, e2) = all_12_1 & $i(all_12_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (47) implies:
% 182.39/27.44 | (48) op(e3, e3) = all_12_2
% 182.39/27.44 | (49) ~ (all_12_2 = e2) | ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0
% 182.39/27.44 | & op(e3, e2) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 182.39/27.44 | (all_12_1 = e1) & op(e3, e2) = all_12_1 & $i(all_12_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (50) op(e0, e0) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e1) | ( ~
% 182.39/27.44 | (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 182.39/27.44 | all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) &
% 182.39/27.44 | op(e0, e1) = all_14_1 & $i(all_14_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (50) implies:
% 182.39/27.44 | (51) op(e0, e0) = all_14_2
% 182.39/27.44 | (52) ~ (all_14_2 = e1) | ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0
% 182.39/27.44 | & op(e0, e1) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~
% 182.39/27.44 | (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (53) op(e0, e0) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e1) | ( ~
% 182.39/27.44 | (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 182.39/27.44 | all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) &
% 182.39/27.44 | op(e0, e1) = all_16_1 & $i(all_16_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (53) implies:
% 182.39/27.44 | (54) op(e0, e0) = all_16_2
% 182.39/27.44 | (55) ~ (all_16_2 = e1) | ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0
% 182.39/27.44 | & op(e0, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~
% 182.39/27.44 | (all_16_1 = e2) & op(e0, e1) = all_16_1 & $i(all_16_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (56) op(e0, e0) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e3) | ( ~
% 182.39/27.44 | (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 182.39/27.44 | all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) &
% 182.39/27.44 | op(e0, e3) = all_18_1 & $i(all_18_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (56) implies:
% 182.39/27.44 | (57) op(e0, e0) = all_18_2
% 182.39/27.44 | (58) ~ (all_18_2 = e3) | ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0
% 182.39/27.44 | & op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~
% 182.39/27.44 | (all_18_1 = e2) & op(e0, e3) = all_18_1 & $i(all_18_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (59) op(e1, e1) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e3) | ( ~
% 182.39/27.44 | (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 182.39/27.44 | all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) &
% 182.39/27.44 | op(e1, e3) = all_20_1 & $i(all_20_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (59) implies:
% 182.39/27.44 | (60) op(e1, e1) = all_20_2
% 182.39/27.44 | (61) ~ (all_20_2 = e3) | ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0
% 182.39/27.44 | & op(e1, e3) = all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~
% 182.39/27.44 | (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (62) op(e1, e1) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e0) | ( ~
% 182.39/27.44 | (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 & op(e1, e0) =
% 182.39/27.44 | all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~ (all_22_1 = e3) &
% 182.39/27.44 | op(e1, e0) = all_22_1 & $i(all_22_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (62) implies:
% 182.39/27.44 | (63) op(e1, e1) = all_22_2
% 182.39/27.44 | (64) ~ (all_22_2 = e0) | ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 182.39/27.44 | & op(e1, e0) = all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~
% 182.39/27.44 | (all_22_1 = e3) & op(e1, e0) = all_22_1 & $i(all_22_1))
% 182.39/27.44 |
% 182.39/27.44 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 182.39/27.44 | gives:
% 182.39/27.44 | (65) op(e2, e2) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e1) | ( ~
% 182.39/27.44 | (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 182.39/27.44 | all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) &
% 182.39/27.44 | op(e2, e1) = all_24_1 & $i(all_24_1)))
% 182.39/27.44 |
% 182.39/27.44 | ALPHA: (65) implies:
% 182.39/27.44 | (66) op(e2, e2) = all_24_2
% 182.39/27.45 | (67) ~ (all_24_2 = e1) | ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 182.39/27.45 | & op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~
% 182.39/27.45 | (all_24_1 = e0) & op(e2, e1) = all_24_1 & $i(all_24_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (68) op(e3, e3) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e1) | ( ~
% 182.39/27.45 | (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3, e1) =
% 182.39/27.45 | all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e2) &
% 182.39/27.45 | op(e3, e1) = all_26_1 & $i(all_26_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (68) implies:
% 182.39/27.45 | (69) op(e3, e3) = all_26_2
% 182.39/27.45 | (70) ~ (all_26_2 = e1) | ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 182.39/27.45 | & op(e3, e1) = all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~
% 182.39/27.45 | (all_26_1 = e2) & op(e3, e1) = all_26_1 & $i(all_26_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (71) op(e0, e0) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e2) | ( ~
% 182.39/27.45 | (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 & op(e0, e2) =
% 182.39/27.45 | all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e3) &
% 182.39/27.45 | op(e0, e2) = all_28_1 & $i(all_28_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (71) implies:
% 182.39/27.45 | (72) op(e0, e0) = all_28_2
% 182.39/27.45 | (73) ~ (all_28_2 = e2) | ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 182.39/27.45 | & op(e0, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~
% 182.39/27.45 | (all_28_1 = e3) & op(e0, e2) = all_28_1 & $i(all_28_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (74) op(e1, e1) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e3) | ( ~
% 182.39/27.45 | (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 182.39/27.45 | all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e0) &
% 182.39/27.45 | op(e1, e3) = all_30_1 & $i(all_30_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (74) implies:
% 182.39/27.45 | (75) op(e1, e1) = all_30_2
% 182.39/27.45 | (76) ~ (all_30_2 = e3) | ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 182.39/27.45 | & op(e1, e3) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~
% 182.39/27.45 | (all_30_1 = e0) & op(e1, e3) = all_30_1 & $i(all_30_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (77) op(e2, e2) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e0) | ( ~
% 182.39/27.45 | (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0) =
% 182.39/27.45 | all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e1) &
% 182.39/27.45 | op(e2, e0) = all_32_1 & $i(all_32_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (77) implies:
% 182.39/27.45 | (78) op(e2, e2) = all_32_2
% 182.39/27.45 | (79) ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 182.39/27.45 | & op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~
% 182.39/27.45 | (all_32_1 = e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (80) op(e1, e1) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e2) | ( ~
% 182.39/27.45 | (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1, e2) =
% 182.39/27.45 | all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e3) &
% 182.39/27.45 | op(e1, e2) = all_34_1 & $i(all_34_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (80) implies:
% 182.39/27.45 | (81) op(e1, e1) = all_34_2
% 182.39/27.45 | (82) ~ (all_34_2 = e2) | ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 182.39/27.45 | & op(e1, e2) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~
% 182.39/27.45 | (all_34_1 = e3) & op(e1, e2) = all_34_1 & $i(all_34_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (83) op(e2, e2) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e0) | ( ~
% 182.39/27.45 | (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 182.39/27.45 | all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e3) &
% 182.39/27.45 | op(e2, e0) = all_36_1 & $i(all_36_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (83) implies:
% 182.39/27.45 | (84) op(e2, e2) = all_36_2
% 182.39/27.45 | (85) ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 182.39/27.45 | & op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~
% 182.39/27.45 | (all_36_1 = e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (86) op(e1, e1) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e0) | ( ~
% 182.39/27.45 | (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 & op(e1, e0) =
% 182.39/27.45 | all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~ (all_38_1 = e2) &
% 182.39/27.45 | op(e1, e0) = all_38_1 & $i(all_38_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (86) implies:
% 182.39/27.45 | (87) op(e1, e1) = all_38_2
% 182.39/27.45 | (88) ~ (all_38_2 = e0) | ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 182.39/27.45 | & op(e1, e0) = all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~
% 182.39/27.45 | (all_38_1 = e2) & op(e1, e0) = all_38_1 & $i(all_38_1))
% 182.39/27.45 |
% 182.39/27.45 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 182.39/27.45 | gives:
% 182.39/27.45 | (89) op(e2, e2) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e3) | ( ~
% 182.39/27.45 | (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2, e3) =
% 182.39/27.45 | all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e0) &
% 182.39/27.45 | op(e2, e3) = all_40_1 & $i(all_40_1)))
% 182.39/27.45 |
% 182.39/27.45 | ALPHA: (89) implies:
% 182.39/27.45 | (90) op(e2, e2) = all_40_2
% 182.39/27.46 | (91) ~ (all_40_2 = e3) | ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 182.39/27.46 | & op(e2, e3) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~
% 182.39/27.46 | (all_40_1 = e0) & op(e2, e3) = all_40_1 & $i(all_40_1))
% 182.39/27.46 |
% 182.39/27.46 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 182.39/27.46 | gives:
% 182.39/27.46 | (92) op(e3, e3) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e1) | ( ~
% 182.39/27.46 | (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 182.39/27.46 | all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e0) &
% 182.39/27.46 | op(e3, e1) = all_42_1 & $i(all_42_1)))
% 182.39/27.46 |
% 182.39/27.46 | ALPHA: (92) implies:
% 182.83/27.46 | (93) op(e3, e3) = all_42_2
% 182.83/27.46 | (94) ~ (all_42_2 = e1) | ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 182.83/27.46 | & op(e3, e1) = all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~
% 182.83/27.46 | (all_42_1 = e0) & op(e3, e1) = all_42_1 & $i(all_42_1))
% 182.83/27.46 |
% 182.83/27.46 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 182.83/27.46 | gives:
% 182.83/27.46 | (95) op(e2, e2) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e1) | ( ~
% 182.83/27.46 | (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2, e1) =
% 182.83/27.46 | all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e3) &
% 182.83/27.46 | op(e2, e1) = all_44_1 & $i(all_44_1)))
% 182.83/27.46 |
% 182.83/27.46 | ALPHA: (95) implies:
% 182.83/27.46 | (96) op(e2, e2) = all_44_2
% 182.83/27.46 | (97) ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0
% 182.83/27.46 | & op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~
% 182.83/27.46 | (all_44_1 = e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 182.83/27.46 |
% 182.83/27.46 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 182.83/27.46 | gives:
% 182.83/27.46 | (98) op(e3, e3) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e2) | ( ~
% 182.83/27.46 | (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 & op(e3, e2) =
% 182.83/27.46 | all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 = e0) &
% 182.83/27.46 | op(e3, e2) = all_46_1 & $i(all_46_1)))
% 182.83/27.46 |
% 182.83/27.46 | ALPHA: (98) implies:
% 182.83/27.46 | (99) op(e3, e3) = all_46_2
% 182.83/27.46 | (100) ~ (all_46_2 = e2) | ( ~ (all_46_0 = e1) & op(all_46_1, e3) =
% 182.83/27.46 | all_46_0 & op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | (
% 182.83/27.46 | ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 & $i(all_46_1))
% 182.83/27.46 |
% 182.83/27.46 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 182.83/27.46 | gives:
% 182.83/27.46 | (101) op(e0, e0) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e3) | ( ~
% 182.83/27.46 | (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 & op(e0, e3) =
% 182.83/27.46 | all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 = e1) &
% 182.83/27.46 | op(e0, e3) = all_48_1 & $i(all_48_1)))
% 182.83/27.46 |
% 182.83/27.46 | ALPHA: (101) implies:
% 182.83/27.46 | (102) op(e0, e0) = all_48_2
% 182.83/27.46 | (103) ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) =
% 182.83/27.46 | all_48_0 & op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | (
% 182.83/27.46 | ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 182.83/27.46 |
% 182.83/27.46 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 182.83/27.46 | gives:
% 182.83/27.46 | (104) op(e0, e0) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e2) | ( ~
% 182.83/27.46 | (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 & op(e0, e2) =
% 182.83/27.46 | all_50_1 & $i(all_50_0) & $i(all_50_1)) | ( ~ (all_50_1 = e1) &
% 182.83/27.46 | op(e0, e2) = all_50_1 & $i(all_50_1)))
% 182.83/27.46 |
% 182.83/27.46 | ALPHA: (104) implies:
% 182.83/27.46 | (105) op(e0, e0) = all_50_2
% 182.83/27.46 | (106) ~ (all_50_2 = e2) | ( ~ (all_50_0 = e3) & op(all_50_1, e0) =
% 182.83/27.46 | all_50_0 & op(e0, e2) = all_50_1 & $i(all_50_0) & $i(all_50_1)) | (
% 182.83/27.46 | ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 & $i(all_50_1))
% 182.83/27.46 |
% 182.83/27.46 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 182.83/27.46 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 182.83/27.46 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 182.83/27.46 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 182.83/27.46 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 182.83/27.46 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 182.83/27.46 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 182.83/27.46 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 182.83/27.46 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 182.83/27.46 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 182.83/27.46 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 182.83/27.46 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 182.83/27.46 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 182.83/27.46 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 182.83/27.46 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 182.83/27.46 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 182.83/27.46 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 182.83/27.46 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 182.83/27.46 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 182.83/27.46 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 182.83/27.46 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 182.83/27.46 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 182.83/27.46 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 182.83/27.46 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 182.83/27.46 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 182.83/27.46 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 182.83/27.46 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 182.83/27.46 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 182.83/27.46 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 182.83/27.46 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 182.83/27.46 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 182.83/27.46 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 182.83/27.46 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 182.83/27.46 |
% 182.83/27.46 | ALPHA: (107) implies:
% 182.83/27.46 | (108) ~ (all_52_14 = all_52_15)
% 182.83/27.46 | (109) ~ (all_52_13 = all_52_15)
% 182.83/27.46 | (110) ~ (all_52_13 = all_52_14)
% 182.83/27.46 | (111) ~ (all_52_12 = all_52_15)
% 182.83/27.46 | (112) ~ (all_52_12 = all_52_14)
% 182.83/27.46 | (113) ~ (all_52_12 = all_52_13)
% 182.83/27.46 | (114) ~ (all_52_11 = all_52_15)
% 182.83/27.46 | (115) ~ (all_52_10 = all_52_14)
% 182.83/27.46 | (116) ~ (all_52_10 = all_52_11)
% 182.83/27.46 | (117) ~ (all_52_9 = all_52_13)
% 182.83/27.47 | (118) ~ (all_52_9 = all_52_11)
% 182.83/27.47 | (119) ~ (all_52_9 = all_52_10)
% 182.83/27.47 | (120) ~ (all_52_8 = all_52_12)
% 182.83/27.47 | (121) ~ (all_52_8 = all_52_11)
% 182.83/27.47 | (122) ~ (all_52_8 = all_52_10)
% 182.83/27.47 | (123) ~ (all_52_8 = all_52_9)
% 182.83/27.47 | (124) ~ (all_52_7 = all_52_15)
% 182.83/27.47 | (125) ~ (all_52_7 = all_52_11)
% 182.83/27.47 | (126) ~ (all_52_6 = all_52_14)
% 182.83/27.47 | (127) ~ (all_52_6 = all_52_10)
% 182.83/27.47 | (128) ~ (all_52_6 = all_52_7)
% 182.83/27.47 | (129) ~ (all_52_5 = all_52_13)
% 182.83/27.47 | (130) ~ (all_52_5 = all_52_9)
% 182.83/27.47 | (131) ~ (all_52_5 = all_52_7)
% 182.83/27.47 | (132) ~ (all_52_5 = all_52_6)
% 182.83/27.47 | (133) ~ (all_52_4 = all_52_12)
% 182.83/27.47 | (134) ~ (all_52_4 = all_52_8)
% 182.83/27.47 | (135) ~ (all_52_4 = all_52_7)
% 182.83/27.47 | (136) ~ (all_52_4 = all_52_6)
% 182.83/27.47 | (137) ~ (all_52_4 = all_52_5)
% 182.83/27.47 | (138) ~ (all_52_3 = all_52_15)
% 182.83/27.47 | (139) ~ (all_52_3 = all_52_11)
% 182.83/27.47 | (140) ~ (all_52_3 = all_52_7)
% 182.83/27.47 | (141) ~ (all_52_2 = all_52_14)
% 182.83/27.47 | (142) ~ (all_52_2 = all_52_10)
% 182.83/27.47 | (143) ~ (all_52_2 = all_52_6)
% 182.83/27.47 | (144) ~ (all_52_2 = all_52_3)
% 182.83/27.47 | (145) ~ (all_52_1 = all_52_13)
% 182.83/27.47 | (146) ~ (all_52_1 = all_52_9)
% 182.83/27.47 | (147) ~ (all_52_1 = all_52_5)
% 182.83/27.47 | (148) ~ (all_52_1 = all_52_3)
% 182.83/27.47 | (149) ~ (all_52_1 = all_52_2)
% 182.83/27.47 | (150) ~ (all_52_0 = all_52_12)
% 182.83/27.47 | (151) ~ (all_52_0 = all_52_8)
% 182.83/27.47 | (152) ~ (all_52_0 = all_52_4)
% 182.83/27.47 | (153) ~ (all_52_0 = all_52_3)
% 182.83/27.47 | (154) ~ (all_52_0 = all_52_2)
% 182.83/27.47 | (155) ~ (all_52_0 = all_52_1)
% 182.83/27.47 | (156) op(e0, e0) = all_52_15
% 182.83/27.47 | (157) op(e0, e1) = all_52_11
% 182.83/27.47 | (158) op(e0, e2) = all_52_7
% 182.83/27.47 | (159) op(e0, e3) = all_52_3
% 182.83/27.47 | (160) op(e1, e0) = all_52_14
% 182.83/27.47 | (161) op(e1, e1) = all_52_10
% 182.83/27.47 | (162) op(e1, e2) = all_52_6
% 182.83/27.47 | (163) op(e1, e3) = all_52_2
% 182.83/27.47 | (164) op(e2, e0) = all_52_13
% 182.83/27.47 | (165) op(e2, e1) = all_52_9
% 182.83/27.47 | (166) op(e2, e2) = all_52_5
% 182.83/27.47 | (167) op(e2, e3) = all_52_1
% 182.83/27.47 | (168) op(e3, e0) = all_52_12
% 182.83/27.47 | (169) op(e3, e1) = all_52_8
% 182.83/27.47 | (170) op(e3, e2) = all_52_4
% 182.83/27.47 | (171) op(e3, e3) = all_52_0
% 182.83/27.47 |
% 182.83/27.47 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 182.83/27.47 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 182.83/27.47 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 182.83/27.47 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 182.83/27.47 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 182.83/27.47 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 182.83/27.47 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 182.83/27.47 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 182.83/27.47 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 182.83/27.47 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 182.83/27.47 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 182.83/27.47 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 182.83/27.47 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 182.83/27.47 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 182.83/27.47 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 182.83/27.47 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 182.83/27.47 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 182.83/27.47 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 182.83/27.47 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 182.83/27.47 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 182.83/27.47 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 182.83/27.47 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 182.83/27.47 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 182.83/27.47 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 182.83/27.47 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 182.83/27.47 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 182.83/27.47 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 182.83/27.47 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 182.83/27.47 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 182.83/27.47 |
% 182.83/27.47 | ALPHA: (172) implies:
% 182.83/27.47 | (173) op(e0, e0) = all_54_15
% 182.83/27.47 | (174) op(e0, e1) = all_54_14
% 182.83/27.47 | (175) op(e0, e2) = all_54_13
% 182.83/27.47 | (176) op(e0, e3) = all_54_12
% 182.83/27.47 | (177) op(e1, e0) = all_54_11
% 182.83/27.47 | (178) op(e1, e1) = all_54_10
% 182.83/27.47 | (179) op(e1, e2) = all_54_9
% 182.83/27.47 | (180) op(e1, e3) = all_54_8
% 182.83/27.47 | (181) op(e2, e0) = all_54_7
% 182.83/27.47 | (182) op(e2, e1) = all_54_6
% 182.83/27.47 | (183) op(e2, e2) = all_54_5
% 182.83/27.47 | (184) op(e2, e3) = all_54_4
% 182.83/27.47 | (185) op(e3, e0) = all_54_3
% 182.83/27.47 | (186) op(e3, e1) = all_54_2
% 182.83/27.47 | (187) op(e3, e2) = all_54_1
% 182.83/27.47 | (188) op(e3, e3) = all_54_0
% 182.83/27.48 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 182.83/27.48 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 182.83/27.48 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 182.83/27.48 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 182.83/27.48 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 182.83/27.48 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.83/27.48 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.83/27.48 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 182.83/27.48 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 182.83/27.48 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 182.83/27.48 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 182.83/27.48 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 182.83/27.48 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 182.83/27.48 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 182.83/27.48 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 182.83/27.48 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 182.83/27.48 |
% 182.83/27.48 | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 182.83/27.48 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 182.83/27.48 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 182.83/27.49 | (205) ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 182.83/27.49 | e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 182.83/27.49 | e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 182.83/27.49 | e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 182.83/27.49 | (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 182.83/27.49 | = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 182.83/27.49 | op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 182.83/27.49 | ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 182.83/27.49 | e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 182.83/27.49 | op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 182.83/27.49 | (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 182.83/27.49 | e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 182.83/27.49 | op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 182.83/27.49 | = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 182.83/27.49 | ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 182.83/27.49 | e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 182.83/27.49 | e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 182.83/27.49 | e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 182.83/27.49 | (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 182.83/27.49 | = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 182.83/27.49 | op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 182.83/27.49 | ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 182.83/27.49 | e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 182.83/27.49 | op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 182.83/27.49 | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 182.83/27.49 | e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 182.83/27.49 | op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 182.83/27.49 | = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 182.83/27.49 | ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 182.83/27.49 | e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 182.83/27.49 | op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 182.83/27.49 | (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 182.83/27.49 | e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 182.83/27.49 | op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 182.83/27.49 | = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 182.83/27.49 | ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 182.83/27.49 | e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 182.83/27.49 | op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 182.83/27.49 | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 182.83/27.49 | e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 182.83/27.49 | op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 182.83/27.49 | = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 182.83/27.49 | ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 182.83/27.49 | e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 182.83/27.49 | op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 182.83/27.49 | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 182.83/27.49 | e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 182.83/27.49 | op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 182.83/27.49 | = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 182.83/27.49 | ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 182.83/27.49 | e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 182.83/27.49 | op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 182.83/27.49 | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 182.83/27.49 | e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 182.83/27.49 | op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 182.83/27.49 | = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 182.83/27.49 | ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 182.83/27.49 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 182.83/27.49 | op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 182.83/27.49 | (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 182.83/27.49 | e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 182.83/27.49 | op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 182.83/27.49 | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 182.83/27.49 | e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 182.83/27.49 | op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 182.83/27.49 | (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 182.83/27.49 | = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 182.83/27.49 | op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 182.83/27.49 | ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 182.83/27.49 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 182.83/27.49 | op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 182.83/27.49 | (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 182.83/27.49 | = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 182.83/27.49 | e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 182.83/27.49 | (all_56_14 = e0 & op(e0, e1) = e0))))
% 182.83/27.49 |
% 182.83/27.49 | ALPHA: (205) implies:
% 182.83/27.49 | (206) (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 182.83/27.49 | e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.83/27.49 | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 182.83/27.49 | (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 182.83/27.49 | = e0)))
% 182.83/27.49 | (207) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 182.83/27.49 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 182.83/27.49 | e0) = e1)
% 182.83/27.49 | (208) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 182.83/27.49 | e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 182.83/27.49 | e0) = e2)
% 182.83/27.49 | (209) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 182.83/27.49 | e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 182.83/27.49 | e0) = e3)
% 182.83/27.49 | (210) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 182.83/27.49 | e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 182.83/27.49 | e0) = e1)
% 182.83/27.49 | (211) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 182.83/27.49 | e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 182.83/27.49 | e0) = e2)
% 182.83/27.49 | (212) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 182.83/27.49 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 182.83/27.49 | e0) = e3)
% 182.83/27.49 | (213) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 182.83/27.49 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 182.83/27.49 | e0)
% 182.83/27.49 | (214) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 182.83/27.49 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 182.83/27.49 | e1)
% 182.83/27.49 | (215) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 182.83/27.49 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 182.83/27.49 | e2)
% 182.83/27.49 | (216) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 182.83/27.49 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 182.83/27.49 | e3)
% 182.83/27.49 | (217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 182.83/27.49 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 182.83/27.49 | e0)
% 182.83/27.49 | (218) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 182.83/27.49 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 182.83/27.49 | e1)
% 182.83/27.49 | (219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 182.83/27.49 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 182.83/27.49 | e2)
% 182.83/27.49 | (220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 182.83/27.49 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 182.83/27.49 | e3)
% 182.83/27.49 | (221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 182.83/27.49 | | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 182.83/27.49 | e0)
% 182.83/27.49 | (222) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 182.83/27.49 | | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 182.83/27.49 | e1)
% 182.83/27.49 | (223) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 182.83/27.49 | | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 182.83/27.49 | e2)
% 182.83/27.49 | (224) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 182.83/27.49 | | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 182.83/27.49 | e3)
% 182.83/27.49 | (225) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 182.83/27.49 | | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.83/27.49 | e0)
% 182.83/27.50 | (226) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 182.83/27.50 | | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 182.83/27.50 | e1)
% 182.83/27.50 | (227) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 182.83/27.50 | | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 182.83/27.50 | e2)
% 182.83/27.50 | (228) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 182.83/27.50 | | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 182.83/27.50 | e3)
% 182.83/27.50 | (229) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 182.83/27.50 | | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 182.83/27.50 | e0)
% 182.83/27.50 | (230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 182.83/27.50 | | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 182.83/27.50 | e0)
% 182.83/27.50 | (231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 182.83/27.50 | | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 182.83/27.50 | e1)
% 182.83/27.50 | (232) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 182.83/27.50 | | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 182.83/27.50 | e1)
% 182.83/27.50 | (233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 182.83/27.50 | | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 182.83/27.50 | e2)
% 182.83/27.50 | (234) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 182.83/27.50 | | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 182.83/27.50 | e2)
% 182.83/27.50 | (235) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 182.83/27.50 | | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 182.83/27.50 | e3)
% 182.83/27.50 | (236) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 182.83/27.50 | | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 182.83/27.50 | e3)
% 182.83/27.50 |
% 182.83/27.50 | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 182.83/27.50 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 182.83/27.50 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15 gives:
% 182.83/27.51 | (237) ((all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 182.83/27.51 | op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 182.83/27.51 | $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 182.83/27.51 | (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 182.83/27.51 | ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 182.83/27.51 | op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 182.83/27.51 | all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 182.83/27.51 | e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 182.83/27.51 | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 182.83/27.51 | op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 182.83/27.51 | op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 182.83/27.51 | all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 182.83/27.51 | all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 182.83/27.51 | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 &
% 182.83/27.51 | op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.51 | all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 182.83/27.51 | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 182.83/27.51 | $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14
% 182.83/27.51 | = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1
% 182.83/27.51 | & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 182.83/27.51 | = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 182.83/27.51 | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.51 | (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.51 | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 182.83/27.51 | op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 182.83/27.51 | $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.51 | (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 182.83/27.51 | ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 182.83/27.51 | op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 182.83/27.51 | all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 182.83/27.51 | e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 182.83/27.51 | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 182.83/27.51 | op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 182.83/27.51 | op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 182.83/27.51 | all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 182.83/27.51 | all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 182.83/27.51 | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 &
% 182.83/27.51 | op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 182.83/27.51 | all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) =
% 182.83/27.51 | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 182.83/27.51 | $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14
% 182.83/27.51 | = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1
% 182.83/27.51 | & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3)
% 182.83/27.51 | = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 182.83/27.51 | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 182.83/27.51 | (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 182.83/27.51 | (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 182.83/27.51 | & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 182.83/27.51 | $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 182.83/27.51 | (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 182.83/27.51 | ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 182.83/27.51 | op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 182.83/27.51 | all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 182.83/27.51 | e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 182.83/27.51 | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 182.83/27.51 | op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 182.83/27.51 | op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 182.83/27.51 | all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1
% 182.83/27.51 | & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1)
% 182.83/27.51 | = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0
% 182.83/27.51 | & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 182.83/27.51 | all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 182.83/27.51 | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 182.83/27.51 | $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 182.83/27.51 | all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 182.83/27.51 | op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 =
% 182.83/27.51 | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 182.83/27.51 | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 182.83/27.51 | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 182.83/27.51 | $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3) = e3 &
% 182.83/27.51 | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 182.83/27.51 | op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 182.83/27.51 | op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 182.83/27.51 | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 182.83/27.52 | e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 182.83/27.52 | $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 182.83/27.52 | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 182.83/27.52 | op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 182.83/27.52 | op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 182.83/27.52 | all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 182.83/27.52 | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 182.83/27.52 | $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 182.83/27.52 | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 182.83/27.52 | op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 182.83/27.52 | op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.52 | all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 182.83/27.52 | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 182.83/27.52 | $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 182.83/27.52 | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 182.83/27.52 | op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 182.83/27.52 | op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 182.83/27.52 | all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 182.83/27.52 | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 182.83/27.52 | $i(all_57_13))))) & ((all_57_0 = e2 & all_57_14 = e3 & ~
% 182.83/27.52 | (all_57_1 = e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2,
% 182.83/27.52 | e2) = all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 182.83/27.52 | $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &
% 182.83/27.52 | ~ (all_57_2 = e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.52 | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3
% 182.83/27.52 | & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 182.83/27.52 | & ~ (all_57_0 = e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.52 | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 182.83/27.52 | all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 182.83/27.52 | all_57_15 = e3 & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 182.83/27.52 | op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 182.83/27.52 | & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) | (all_57_3 =
% 182.83/27.52 | e3 & all_57_14 = e2 & ~ (all_57_4 = e1) & ~ (all_57_10 = e2) &
% 182.83/27.52 | op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4
% 182.83/27.52 | & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 =
% 182.83/27.52 | e3 & all_57_15 = e2 & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 182.83/27.52 | op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5
% 182.83/27.52 | & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 =
% 182.83/27.52 | e1 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 182.83/27.52 | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 182.83/27.52 | op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 182.83/27.52 | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 182.83/27.52 | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.52 | op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 182.83/27.52 | $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 182.83/27.52 | e2) & ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 182.83/27.52 | = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 182.83/27.52 | $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 182.83/27.52 | e0) & ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 182.83/27.52 | = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 182.83/27.52 | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 182.83/27.52 | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 182.83/27.52 | all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 182.83/27.52 | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &
% 182.83/27.52 | ~ (all_57_8 = e0) & ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 182.83/27.52 | & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 182.83/27.52 | $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &
% 182.83/27.52 | ~ (all_57_10 = e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 182.83/27.52 | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 182.83/27.52 | all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 182.83/27.52 | all_57_14 = e0 & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 182.83/27.52 | op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 182.83/27.52 | op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)) |
% 182.83/27.52 | (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 182.83/27.52 | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 182.83/27.52 | op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 182.83/27.52 | $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 182.83/27.52 | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 182.83/27.52 | all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 182.83/27.52 | $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 182.83/27.52 | & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 182.83/27.52 | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 182.83/27.52 | all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 182.83/27.52 | all_57_13 = e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 182.83/27.52 | op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 182.83/27.52 | & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0)
% 182.83/27.52 | = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &
% 182.83/27.52 | ~ (all_57_0 = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 182.83/27.52 | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0))
% 182.83/27.52 | | (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) & ~
% 182.83/27.52 | (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 182.83/27.52 | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 182.83/27.52 | = e2 & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) & op(e3, e3)
% 182.83/27.52 | = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 182.83/27.52 | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 & ~
% 182.83/27.52 | (all_57_4 = e1) & ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 182.83/27.52 | & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 182.83/27.52 | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 182.83/27.52 | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 182.83/27.52 | op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 182.83/27.52 | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) & op(e2, e2)
% 182.83/27.52 | = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 182.83/27.52 | $i(all_57_7)))))
% 182.83/27.52 |
% 182.83/27.52 | ALPHA: (237) implies:
% 182.83/27.52 | (238) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 = e1) & ~ (all_57_12
% 182.83/27.52 | = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 182.83/27.52 | all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 182.83/27.52 | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 = e0) & ~ (all_57_12
% 182.83/27.52 | = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 182.83/27.52 | all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 182.83/27.52 | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 = e2) & ~ (all_57_14
% 182.83/27.52 | = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1
% 182.83/27.52 | & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 182.83/27.52 | (all_57_1 = e1 & all_57_15 = e3 & ~ (all_57_2 = e0) & ~ (all_57_14
% 182.83/27.52 | = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 182.83/27.52 | all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 182.83/27.52 | (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 = e1) & ~ (all_57_10
% 182.83/27.52 | = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 182.83/27.52 | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 182.83/27.52 | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 = e0) & ~ (all_57_10
% 182.83/27.52 | = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 182.83/27.52 | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 182.83/27.52 | (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~ (all_57_14
% 182.83/27.52 | = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 182.83/27.52 | & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 182.83/27.52 | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 = e0) & ~ (all_57_14
% 182.83/27.52 | = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 182.83/27.52 | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 182.83/27.52 | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~ (all_57_10
% 182.83/27.52 | = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 182.83/27.52 | e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)) |
% 182.83/27.52 | (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 = e0) & ~ (all_57_10
% 182.83/27.52 | = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 182.83/27.52 | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 182.83/27.52 | (all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~ (all_57_12
% 182.83/27.52 | = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 182.83/27.52 | all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 182.83/27.52 | (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 = e0) & ~ (all_57_12
% 182.83/27.52 | = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 182.83/27.52 | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 182.83/27.52 | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 = e0) & ~ (all_57_11
% 182.83/27.52 | = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 182.83/27.52 | e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 182.83/27.52 | (all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 = e0) & ~ (all_57_13
% 182.83/27.52 | = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 182.83/27.52 | e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)) |
% 182.83/27.52 | (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 = e3) & ~ (all_57_12
% 182.83/27.52 | = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 182.83/27.52 | all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 182.83/27.52 | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 = e3) & ~ (all_57_14
% 182.83/27.52 | = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 182.83/27.52 | all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 182.83/27.52 | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 = e0) & ~
% 182.83/27.52 | (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 182.83/27.52 | op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 182.83/27.52 | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 182.83/27.52 | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 182.83/27.52 | all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 182.83/27.52 | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 182.83/27.52 | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 182.83/27.52 | e2) & ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 182.83/27.52 | e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 182.83/27.52 | all_57_14 = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 182.83/27.52 | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 182.83/27.52 | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 182.83/27.52 | = e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 182.83/27.52 | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 182.83/27.52 | all_57_14 = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2) &
% 182.83/27.52 | op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 182.83/27.52 | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 182.83/27.52 | = e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 182.83/27.52 | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 182.83/27.52 | all_57_12 = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 182.83/27.52 | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 182.83/27.52 | $i(all_57_7))))
% 182.83/27.53 | (239) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 182.83/27.53 | op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 182.83/27.53 | $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 182.83/27.53 | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15
% 182.83/27.53 | = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 182.83/27.53 | all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 182.83/27.53 | all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 182.83/27.53 | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 &
% 182.83/27.53 | op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 182.83/27.53 | & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.53 | (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.53 | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 182.83/27.53 | op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 182.83/27.53 | $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 182.83/27.53 | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15
% 182.83/27.53 | = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 182.83/27.53 | all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 &
% 182.83/27.53 | all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 182.83/27.53 | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 182.83/27.53 | op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 182.83/27.53 | & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.53 | (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.53 | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 182.83/27.53 | op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 182.83/27.53 | $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.53 | (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 182.83/27.53 | ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 182.83/27.53 | e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 182.83/27.53 | all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 182.83/27.53 | e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 182.83/27.53 | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 182.83/27.53 | e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 182.83/27.53 | e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 182.83/27.53 | $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 =
% 182.83/27.53 | e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 182.83/27.53 | e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 182.83/27.53 | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 182.83/27.53 | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 182.83/27.53 | (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 182.83/27.53 | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 182.83/27.53 | all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 182.83/27.53 | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 182.83/27.53 | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15
% 182.83/27.53 | = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 182.83/27.53 | all_57_5 & $i(all_57_5)))) | (all_57_5 = e2 & all_57_11 = e2 &
% 182.83/27.53 | all_57_12 = e0 & op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 182.83/27.53 | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 182.83/27.53 | op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9
% 182.83/27.53 | & $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 182.83/27.53 | (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 182.83/27.53 | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 182.83/27.53 | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 182.83/27.53 | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 182.83/27.53 | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14
% 182.83/27.53 | = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 182.83/27.53 | all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 182.83/27.53 | all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 182.83/27.53 | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 182.83/27.53 | op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9
% 182.83/27.53 | & $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.53 | (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 182.83/27.53 | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 182.83/27.53 | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 182.83/27.53 | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 182.83/27.53 | = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12
% 182.83/27.53 | = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.53 | all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3) = e3
% 182.83/27.53 | & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 182.83/27.53 | op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 182.83/27.53 | op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 182.83/27.53 | & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.53 | (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.53 | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 182.83/27.53 | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 182.83/27.53 | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 182.83/27.53 | (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 182.83/27.53 | ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 182.83/27.53 | e2) = all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1,
% 182.83/27.53 | e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 182.83/27.53 | e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 182.83/27.53 | e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.53 | all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1)
% 182.83/27.53 | | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 182.83/27.53 | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 182.83/27.53 | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 182.83/27.53 | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.53 | (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 182.83/27.53 | ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 182.83/27.53 | e0) = all_57_13 & $i(all_57_13))))
% 182.83/27.53 |
% 182.83/27.53 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_28_2, e0, e0,
% 182.83/27.53 | simplifying with (57), (72) gives:
% 182.83/27.53 | (240) all_28_2 = all_18_2
% 182.83/27.53 |
% 182.83/27.53 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_28_2, e0, e0,
% 182.83/27.53 | simplifying with (54), (72) gives:
% 182.83/27.53 | (241) all_28_2 = all_16_2
% 182.83/27.53 |
% 182.83/27.53 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_48_2, e0, e0,
% 182.83/27.53 | simplifying with (57), (102) gives:
% 182.83/27.53 | (242) all_48_2 = all_18_2
% 182.83/27.53 |
% 182.83/27.53 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_15, e0, e0,
% 182.83/27.53 | simplifying with (105), (156) gives:
% 182.83/27.54 | (243) all_52_15 = all_50_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_52_15, e0, e0,
% 182.83/27.54 | simplifying with (102), (156) gives:
% 182.83/27.54 | (244) all_52_15 = all_48_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 182.83/27.54 | e0, simplifying with (156), (173) gives:
% 182.83/27.54 | (245) all_54_15 = all_52_15
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_54_15, e0, e0,
% 182.83/27.54 | simplifying with (51), (173) gives:
% 182.83/27.54 | (246) all_54_15 = all_14_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 182.83/27.54 | e0, simplifying with (157), (174) gives:
% 182.83/27.54 | (247) all_54_14 = all_52_11
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 182.83/27.54 | simplifying with (158), (175) gives:
% 182.83/27.54 | (248) all_54_13 = all_52_7
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 182.83/27.54 | simplifying with (159), (176) gives:
% 182.83/27.54 | (249) all_54_12 = all_52_3
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 182.83/27.54 | e1, simplifying with (160), (177) gives:
% 182.83/27.54 | (250) all_54_11 = all_52_14
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_22_2, e1, e1,
% 182.83/27.54 | simplifying with (45), (63) gives:
% 182.83/27.54 | (251) all_22_2 = all_10_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_10, e1, e1,
% 182.83/27.54 | simplifying with (87), (161) gives:
% 182.83/27.54 | (252) all_52_10 = all_38_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_52_10, e1, e1,
% 182.83/27.54 | simplifying with (75), (161) gives:
% 182.83/27.54 | (253) all_52_10 = all_30_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_10, e1, e1,
% 182.83/27.54 | simplifying with (63), (161) gives:
% 182.83/27.54 | (254) all_52_10 = all_22_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_10, all_54_10, e1,
% 182.83/27.54 | e1, simplifying with (161), (178) gives:
% 182.83/27.54 | (255) all_54_10 = all_52_10
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_54_10, e1, e1,
% 182.83/27.54 | simplifying with (81), (178) gives:
% 182.83/27.54 | (256) all_54_10 = all_34_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_54_10, e1, e1,
% 182.83/27.54 | simplifying with (60), (178) gives:
% 182.83/27.54 | (257) all_54_10 = all_20_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 182.83/27.54 | simplifying with (162), (179) gives:
% 182.83/27.54 | (258) all_54_9 = all_52_6
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 182.83/27.54 | simplifying with (163), (180) gives:
% 182.83/27.54 | (259) all_54_8 = all_52_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 182.83/27.54 | simplifying with (164), (181) gives:
% 182.83/27.54 | (260) all_54_7 = all_52_13
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 182.83/27.54 | simplifying with (165), (182) gives:
% 182.83/27.54 | (261) all_54_6 = all_52_9
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_32_2, e2, e2,
% 182.83/27.54 | simplifying with (66), (78) gives:
% 182.83/27.54 | (262) all_32_2 = all_24_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_36_2, e2, e2,
% 182.83/27.54 | simplifying with (78), (84) gives:
% 182.83/27.54 | (263) all_36_2 = all_32_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_40_2, e2, e2,
% 182.83/27.54 | simplifying with (84), (90) gives:
% 182.83/27.54 | (264) all_40_2 = all_36_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_5, e2, e2,
% 182.83/27.54 | simplifying with (96), (166) gives:
% 182.83/27.54 | (265) all_52_5 = all_44_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_5, e2, e2,
% 182.83/27.54 | simplifying with (90), (166) gives:
% 182.83/27.54 | (266) all_52_5 = all_40_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 182.83/27.54 | simplifying with (166), (183) gives:
% 182.83/27.54 | (267) all_54_5 = all_52_5
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_54_5, e2, e2,
% 182.83/27.54 | simplifying with (36), (183) gives:
% 182.83/27.54 | (268) all_54_5 = all_4_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 182.83/27.54 | simplifying with (167), (184) gives:
% 182.83/27.54 | (269) all_54_4 = all_52_1
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 182.83/27.54 | simplifying with (168), (185) gives:
% 182.83/27.54 | (270) all_54_3 = all_52_12
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 182.83/27.54 | simplifying with (169), (186) gives:
% 182.83/27.54 | (271) all_54_2 = all_52_8
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 182.83/27.54 | simplifying with (170), (187) gives:
% 182.83/27.54 | (272) all_54_1 = all_52_4
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_42_2, e3, e3,
% 182.83/27.54 | simplifying with (69), (93) gives:
% 182.83/27.54 | (273) all_42_2 = all_26_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_42_2, e3, e3,
% 182.83/27.54 | simplifying with (48), (93) gives:
% 182.83/27.54 | (274) all_42_2 = all_12_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_46_2, e3, e3,
% 182.83/27.54 | simplifying with (93), (99) gives:
% 182.83/27.54 | (275) all_46_2 = all_42_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_52_0, e3, e3,
% 182.83/27.54 | simplifying with (48), (171) gives:
% 182.83/27.54 | (276) all_52_0 = all_12_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_52_0, e3, e3,
% 182.83/27.54 | simplifying with (42), (171) gives:
% 182.83/27.54 | (277) all_52_0 = all_8_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_54_0, e3, e3,
% 182.83/27.54 | simplifying with (99), (188) gives:
% 182.83/27.54 | (278) all_54_0 = all_46_2
% 182.83/27.54 |
% 182.83/27.54 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_0, e3, e3,
% 182.83/27.54 | simplifying with (39), (188) gives:
% 182.83/27.54 | (279) all_54_0 = all_6_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (278), (279) imply:
% 182.83/27.54 | (280) all_46_2 = all_6_2
% 182.83/27.54 |
% 182.83/27.54 | SIMP: (280) implies:
% 182.83/27.54 | (281) all_46_2 = all_6_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (267), (268) imply:
% 182.83/27.54 | (282) all_52_5 = all_4_2
% 182.83/27.54 |
% 182.83/27.54 | SIMP: (282) implies:
% 182.83/27.54 | (283) all_52_5 = all_4_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (256), (257) imply:
% 182.83/27.54 | (284) all_34_2 = all_20_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (255), (256) imply:
% 182.83/27.54 | (285) all_52_10 = all_34_2
% 182.83/27.54 |
% 182.83/27.54 | SIMP: (285) implies:
% 182.83/27.54 | (286) all_52_10 = all_34_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (245), (246) imply:
% 182.83/27.54 | (287) all_52_15 = all_14_2
% 182.83/27.54 |
% 182.83/27.54 | SIMP: (287) implies:
% 182.83/27.54 | (288) all_52_15 = all_14_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (276), (277) imply:
% 182.83/27.54 | (289) all_12_2 = all_8_2
% 182.83/27.54 |
% 182.83/27.54 | SIMP: (289) implies:
% 182.83/27.54 | (290) all_12_2 = all_8_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (265), (266) imply:
% 182.83/27.54 | (291) all_44_2 = all_40_2
% 182.83/27.54 |
% 182.83/27.54 | COMBINE_EQS: (265), (283) imply:
% 182.83/27.55 | (292) all_44_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (252), (253) imply:
% 182.83/27.55 | (293) all_38_2 = all_30_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (252), (254) imply:
% 182.83/27.55 | (294) all_38_2 = all_22_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (252), (286) imply:
% 182.83/27.55 | (295) all_38_2 = all_34_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (243), (244) imply:
% 182.83/27.55 | (296) all_50_2 = all_48_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (243), (288) imply:
% 182.83/27.55 | (297) all_50_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (296), (297) imply:
% 182.83/27.55 | (298) all_48_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (298) implies:
% 182.83/27.55 | (299) all_48_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (242), (299) imply:
% 182.83/27.55 | (300) all_18_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (300) implies:
% 182.83/27.55 | (301) all_18_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (275), (281) imply:
% 182.83/27.55 | (302) all_42_2 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (302) implies:
% 182.83/27.55 | (303) all_42_2 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (291), (292) imply:
% 182.83/27.55 | (304) all_40_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (304) implies:
% 182.83/27.55 | (305) all_40_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (273), (274) imply:
% 182.83/27.55 | (306) all_26_2 = all_12_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (273), (303) imply:
% 182.83/27.55 | (307) all_26_2 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (264), (305) imply:
% 182.83/27.55 | (308) all_36_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (308) implies:
% 182.83/27.55 | (309) all_36_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (293), (294) imply:
% 182.83/27.55 | (310) all_30_2 = all_22_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (293), (295) imply:
% 182.83/27.55 | (311) all_34_2 = all_30_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (311) implies:
% 182.83/27.55 | (312) all_34_2 = all_30_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (263), (309) imply:
% 182.83/27.55 | (313) all_32_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (313) implies:
% 182.83/27.55 | (314) all_32_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (284), (312) imply:
% 182.83/27.55 | (315) all_30_2 = all_20_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (315) implies:
% 182.83/27.55 | (316) all_30_2 = all_20_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (262), (314) imply:
% 182.83/27.55 | (317) all_24_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (317) implies:
% 182.83/27.55 | (318) all_24_2 = all_4_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (310), (316) imply:
% 182.83/27.55 | (319) all_22_2 = all_20_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (319) implies:
% 182.83/27.55 | (320) all_22_2 = all_20_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (240), (241) imply:
% 182.83/27.55 | (321) all_18_2 = all_16_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (321) implies:
% 182.83/27.55 | (322) all_18_2 = all_16_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (306), (307) imply:
% 182.83/27.55 | (323) all_12_2 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (323) implies:
% 182.83/27.55 | (324) all_12_2 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (251), (320) imply:
% 182.83/27.55 | (325) all_20_2 = all_10_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (301), (322) imply:
% 182.83/27.55 | (326) all_16_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (326) implies:
% 182.83/27.55 | (327) all_16_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (290), (324) imply:
% 182.83/27.55 | (328) all_8_2 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (328) implies:
% 182.83/27.55 | (329) all_8_2 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (241), (327) imply:
% 182.83/27.55 | (330) all_28_2 = all_14_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (316), (325) imply:
% 182.83/27.55 | (331) all_30_2 = all_10_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (284), (325) imply:
% 182.83/27.55 | (332) all_34_2 = all_10_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (293), (331) imply:
% 182.83/27.55 | (333) all_38_2 = all_10_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (252), (333) imply:
% 182.83/27.55 | (334) all_52_10 = all_10_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (277), (329) imply:
% 182.83/27.55 | (335) all_52_0 = all_6_2
% 182.83/27.55 |
% 182.83/27.55 | COMBINE_EQS: (256), (332) imply:
% 182.83/27.55 | (336) all_54_10 = all_10_2
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (155), (335) imply:
% 182.83/27.55 | (337) ~ (all_52_1 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (337) implies:
% 182.83/27.55 | (338) ~ (all_52_1 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (154), (335) imply:
% 182.83/27.55 | (339) ~ (all_52_2 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (339) implies:
% 182.83/27.55 | (340) ~ (all_52_2 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (153), (335) imply:
% 182.83/27.55 | (341) ~ (all_52_3 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (341) implies:
% 182.83/27.55 | (342) ~ (all_52_3 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (152), (335) imply:
% 182.83/27.55 | (343) ~ (all_52_4 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (343) implies:
% 182.83/27.55 | (344) ~ (all_52_4 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (151), (335) imply:
% 182.83/27.55 | (345) ~ (all_52_8 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (345) implies:
% 182.83/27.55 | (346) ~ (all_52_8 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (150), (335) imply:
% 182.83/27.55 | (347) ~ (all_52_12 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (347) implies:
% 182.83/27.55 | (348) ~ (all_52_12 = all_6_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (147), (283) imply:
% 182.83/27.55 | (349) ~ (all_52_1 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (142), (334) imply:
% 182.83/27.55 | (350) ~ (all_52_2 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (138), (288) imply:
% 182.83/27.55 | (351) ~ (all_52_3 = all_14_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (137), (283) imply:
% 182.83/27.55 | (352) ~ (all_52_4 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (132), (283) imply:
% 182.83/27.55 | (353) ~ (all_52_6 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (353) implies:
% 182.83/27.55 | (354) ~ (all_52_6 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (131), (283) imply:
% 182.83/27.55 | (355) ~ (all_52_7 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (355) implies:
% 182.83/27.55 | (356) ~ (all_52_7 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (130), (283) imply:
% 182.83/27.55 | (357) ~ (all_52_9 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (357) implies:
% 182.83/27.55 | (358) ~ (all_52_9 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (129), (283) imply:
% 182.83/27.55 | (359) ~ (all_52_13 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (359) implies:
% 182.83/27.55 | (360) ~ (all_52_13 = all_4_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (127), (334) imply:
% 182.83/27.55 | (361) ~ (all_52_6 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (124), (288) imply:
% 182.83/27.55 | (362) ~ (all_52_7 = all_14_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (122), (334) imply:
% 182.83/27.55 | (363) ~ (all_52_8 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (119), (334) imply:
% 182.83/27.55 | (364) ~ (all_52_9 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (116), (334) imply:
% 182.83/27.55 | (365) ~ (all_52_11 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (365) implies:
% 182.83/27.55 | (366) ~ (all_52_11 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (115), (334) imply:
% 182.83/27.55 | (367) ~ (all_52_14 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | SIMP: (367) implies:
% 182.83/27.55 | (368) ~ (all_52_14 = all_10_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (114), (288) imply:
% 182.83/27.55 | (369) ~ (all_52_11 = all_14_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (111), (288) imply:
% 182.83/27.55 | (370) ~ (all_52_12 = all_14_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (109), (288) imply:
% 182.83/27.55 | (371) ~ (all_52_13 = all_14_2)
% 182.83/27.55 |
% 182.83/27.55 | REDUCE: (108), (288) imply:
% 182.83/27.55 | (372) ~ (all_52_14 = all_14_2)
% 182.83/27.55 |
% 182.83/27.55 | BETA: splitting (37) gives:
% 182.83/27.55 |
% 182.83/27.56 | Case 1:
% 182.83/27.56 | |
% 182.83/27.56 | | (373) ~ (all_4_2 = e3)
% 182.83/27.56 | |
% 182.83/27.56 | | BETA: splitting (40) gives:
% 182.83/27.56 | |
% 182.83/27.56 | | Case 1:
% 182.83/27.56 | | |
% 182.83/27.56 | | | (374) ~ (all_6_2 = e0)
% 182.83/27.56 | | |
% 182.83/27.56 | | | BETA: splitting (46) gives:
% 182.83/27.56 | | |
% 182.83/27.56 | | | Case 1:
% 182.83/27.56 | | | |
% 182.83/27.56 | | | | (375) ~ (all_10_2 = e2)
% 182.83/27.56 | | | |
% 182.83/27.56 | | | | BETA: splitting (49) gives:
% 182.83/27.56 | | | |
% 182.83/27.56 | | | | Case 1:
% 182.83/27.56 | | | | |
% 182.83/27.56 | | | | | (376) ~ (all_12_2 = e2)
% 182.83/27.56 | | | | |
% 182.83/27.56 | | | | | REDUCE: (324), (376) imply:
% 182.83/27.56 | | | | | (377) ~ (all_6_2 = e2)
% 182.83/27.56 | | | | |
% 182.83/27.56 | | | | | BETA: splitting (52) gives:
% 182.83/27.56 | | | | |
% 182.83/27.56 | | | | | Case 1:
% 182.83/27.56 | | | | | |
% 182.83/27.56 | | | | | | (378) ~ (all_14_2 = e1)
% 182.83/27.56 | | | | | |
% 182.83/27.56 | | | | | | BETA: splitting (58) gives:
% 182.83/27.56 | | | | | |
% 182.83/27.56 | | | | | | Case 1:
% 182.83/27.56 | | | | | | |
% 182.83/27.56 | | | | | | | (379) ~ (all_18_2 = e3)
% 182.83/27.56 | | | | | | |
% 182.83/27.56 | | | | | | | REDUCE: (301), (379) imply:
% 182.83/27.56 | | | | | | | (380) ~ (all_14_2 = e3)
% 182.83/27.56 | | | | | | |
% 182.83/27.56 | | | | | | | BETA: splitting (61) gives:
% 182.83/27.56 | | | | | | |
% 182.83/27.56 | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | |
% 182.83/27.56 | | | | | | | | (381) ~ (all_20_2 = e3)
% 182.83/27.56 | | | | | | | |
% 182.83/27.56 | | | | | | | | REDUCE: (325), (381) imply:
% 182.83/27.56 | | | | | | | | (382) ~ (all_10_2 = e3)
% 182.83/27.56 | | | | | | | |
% 182.83/27.56 | | | | | | | | BETA: splitting (64) gives:
% 182.83/27.56 | | | | | | | |
% 182.83/27.56 | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | |
% 182.83/27.56 | | | | | | | | | (383) ~ (all_22_2 = e0)
% 182.83/27.56 | | | | | | | | |
% 182.83/27.56 | | | | | | | | | REDUCE: (251), (383) imply:
% 182.83/27.56 | | | | | | | | | (384) ~ (all_10_2 = e0)
% 182.83/27.56 | | | | | | | | |
% 182.83/27.56 | | | | | | | | | BETA: splitting (194) gives:
% 182.83/27.56 | | | | | | | | |
% 182.83/27.56 | | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | (385) all_54_10 = e3
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | COMBINE_EQS: (336), (385) imply:
% 182.83/27.56 | | | | | | | | | | (386) all_10_2 = e3
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | REDUCE: (382), (386) imply:
% 182.83/27.56 | | | | | | | | | | (387) $false
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | CLOSE: (387) is inconsistent.
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | Case 2:
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | (388) ~ (all_54_10 = e3)
% 182.83/27.56 | | | | | | | | | | (389) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | BETA: splitting (389) gives:
% 182.83/27.56 | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | (390) all_54_10 = e2
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | COMBINE_EQS: (336), (390) imply:
% 182.83/27.56 | | | | | | | | | | | (391) all_10_2 = e2
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | REDUCE: (375), (391) imply:
% 182.83/27.56 | | | | | | | | | | | (392) $false
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | Case 2:
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | (393) ~ (all_54_10 = e2)
% 182.83/27.56 | | | | | | | | | | | (394) all_54_10 = e1 | all_54_10 = e0
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | BETA: splitting (394) gives:
% 182.83/27.56 | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | (395) all_54_10 = e1
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | COMBINE_EQS: (336), (395) imply:
% 182.83/27.56 | | | | | | | | | | | | (396) all_10_2 = e1
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | REDUCE: (350), (396) imply:
% 182.83/27.56 | | | | | | | | | | | | (397) ~ (all_52_2 = e1)
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | REDUCE: (361), (396) imply:
% 182.83/27.56 | | | | | | | | | | | | (398) ~ (all_52_6 = e1)
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | REDUCE: (366), (396) imply:
% 182.83/27.56 | | | | | | | | | | | | (399) ~ (all_52_11 = e1)
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | REDUCE: (368), (396) imply:
% 182.83/27.56 | | | | | | | | | | | | (400) ~ (all_52_14 = e1)
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | REDUCE: (382), (396) imply:
% 182.83/27.56 | | | | | | | | | | | | (401) ~ (e3 = e1)
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | REDUCE: (375), (396) imply:
% 182.83/27.56 | | | | | | | | | | | | (402) ~ (e2 = e1)
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | REDUCE: (45), (396) imply:
% 182.83/27.56 | | | | | | | | | | | | (403) op(e1, e1) = e1
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | BETA: splitting (67) gives:
% 182.83/27.56 | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | (404) ~ (all_24_2 = e1)
% 182.83/27.56 | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | REDUCE: (318), (404) imply:
% 182.83/27.56 | | | | | | | | | | | | | (405) ~ (all_4_2 = e1)
% 182.83/27.56 | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 182.83/27.56 | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | (406) ~ (all_26_2 = e1)
% 182.83/27.56 | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | REDUCE: (307), (406) imply:
% 182.83/27.56 | | | | | | | | | | | | | | (407) ~ (all_6_2 = e1)
% 182.83/27.56 | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 182.83/27.56 | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | | (408) all_54_0 = e3
% 182.83/27.56 | | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (408) imply:
% 182.83/27.56 | | | | | | | | | | | | | | | (409) all_6_2 = e3
% 182.83/27.56 | | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | | REDUCE: (344), (409) imply:
% 182.83/27.56 | | | | | | | | | | | | | | | (410) ~ (all_52_4 = e3)
% 182.83/27.56 | | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | | REDUCE: (348), (409) imply:
% 182.83/27.56 | | | | | | | | | | | | | | | (411) ~ (all_52_12 = e3)
% 182.83/27.56 | | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | | REDUCE: (39), (409) imply:
% 182.83/27.56 | | | | | | | | | | | | | | | (412) op(e3, e3) = e3
% 182.83/27.56 | | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 182.83/27.56 | | | | | | | | | | | | | | |
% 182.83/27.56 | | | | | | | | | | | | | | | Case 1:
% 182.83/27.56 | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | (413) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 182.83/27.57 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 182.83/27.57 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 182.83/27.57 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 182.83/27.57 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 182.83/27.57 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.57 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 182.83/27.57 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 182.83/27.57 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 182.83/27.57 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 182.83/27.57 | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 182.83/27.57 | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 182.83/27.57 | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 182.83/27.57 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 182.83/27.57 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 182.83/27.57 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 182.83/27.57 | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 182.83/27.57 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 182.83/27.57 | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 182.83/27.57 | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 182.83/27.57 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 182.83/27.57 | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 182.83/27.57 | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 182.83/27.57 | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 182.83/27.57 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 182.83/27.57 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 182.83/27.57 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 182.83/27.57 | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | BETA: splitting (413) gives:
% 182.83/27.57 | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | Case 1:
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | (414) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 182.83/27.57 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | Case 1:
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (415) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 182.83/27.57 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (403), (415), (function-axioms)
% 182.83/27.57 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1976.
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (416) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 182.83/27.57 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (397), (416),
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 182.83/27.57 | | | | | | | | | | | | | | | | | | #1973.
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | End of split
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | (417) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 182.83/27.57 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 182.83/27.57 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 182.83/27.57 | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 182.83/27.57 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | $i(all_57_10))
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | Case 1:
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (418) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 182.83/27.57 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (410), (418), (function-axioms) are
% 182.83/27.57 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1971.
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (419) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 182.83/27.57 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 182.83/27.57 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 182.83/27.57 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 182.83/27.57 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (398), (405), (419),
% 182.83/27.57 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 182.83/27.57 | | | | | | | | | | | | | | | | | | #1968.
% 182.83/27.57 | | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | | End of split
% 182.83/27.57 | | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | | End of split
% 182.83/27.57 | | | | | | | | | | | | | | | |
% 182.83/27.57 | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57 | | | | | | | | | | | | | | | |
% 183.17/27.64 | | | | | | | | | | | | | | | | (420) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.17/27.64 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.17/27.64 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.17/27.64 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.17/27.64 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 183.17/27.64 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.17/27.64 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.17/27.64 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.17/27.64 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.17/27.64 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.17/27.64 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 183.17/27.64 | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 183.17/27.64 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 183.17/27.64 | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 183.17/27.64 | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 183.17/27.64 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 183.17/27.64 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 183.17/27.64 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.17/27.64 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.17/27.64 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 183.17/27.64 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.17/27.64 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.64 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.17/27.64 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.17/27.64 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.17/27.64 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.17/27.64 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.17/27.64 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.17/27.64 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.17/27.64 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.17/27.64 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.17/27.64 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.17/27.64 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.17/27.64 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.17/27.64 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.17/27.64 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.17/27.64 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.17/27.64 | | | | | | | | | | | | | | | |
% 183.17/27.64 | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 183.17/27.64 | | | | | | | | | | | | | | | |
% 183.17/27.64 | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.64 | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | (421) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.17/27.65 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.17/27.65 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 183.17/27.65 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.17/27.65 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.17/27.65 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 183.17/27.65 | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (168), (378), (411), (412), (421),
% 183.17/27.65 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.17/27.65 | | | | | | | | | | | | | | | | | #1962.
% 183.17/27.65 | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.65 | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | (422) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.17/27.65 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 183.17/27.65 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.17/27.65 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 183.17/27.65 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 183.17/27.65 | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 183.17/27.65 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 183.17/27.65 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 183.17/27.65 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 183.17/27.65 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.17/27.65 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.17/27.65 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.17/27.65 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.17/27.65 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.17/27.65 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.17/27.65 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.17/27.65 | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 183.17/27.65 | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.65 | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | (423) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 183.17/27.65 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.17/27.65 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 183.17/27.65 | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (412), (423), (function-axioms) are
% 183.17/27.65 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 183.17/27.65 | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.65 | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | (424) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 183.17/27.65 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.17/27.65 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.17/27.65 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.17/27.65 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.17/27.65 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.17/27.65 | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 183.17/27.65 | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.65 | | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | (425) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 183.17/27.65 | | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | (426) op(e1, e1) = e0
% 183.17/27.65 | | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (426), (function-axioms) are
% 183.17/27.65 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 183.17/27.65 | | | | | | | | | | | | | | | | | | |
% 183.17/27.65 | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.65 | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | (427) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 183.17/27.66 | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (428) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (429) op(e1, e0) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (429), (function-axioms) are
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (430) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (431) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (39), (204), (279), (373), (374),
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (377), (403), (405), (407), (431),
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | | #1951.
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | | End of split
% 183.17/27.66 | | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | End of split
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | End of split
% 183.17/27.66 | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | End of split
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | End of split
% 183.17/27.66 | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | Case 2:
% 183.17/27.66 | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | (432) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 183.17/27.66 | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (407), (432) are inconsistent
% 183.17/27.66 | | | | | | | | | | | | | | | by sub-proof #1952.
% 183.17/27.66 | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | End of split
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | Case 2:
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | (433) all_26_2 = e1
% 183.17/27.66 | | | | | | | | | | | | | | (434) ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 183.17/27.66 | | | | | | | | | | | | | | & op(e3, e1) = all_26_1 & $i(all_26_0) &
% 183.17/27.66 | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 183.17/27.66 | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | COMBINE_EQS: (307), (433) imply:
% 183.17/27.66 | | | | | | | | | | | | | | (435) all_6_2 = e1
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | SIMP: (435) implies:
% 183.17/27.66 | | | | | | | | | | | | | | (436) all_6_2 = e1
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | COMBINE_EQS: (303), (436) imply:
% 183.17/27.66 | | | | | | | | | | | | | | (437) all_42_2 = e1
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | REDUCE: (342), (436) imply:
% 183.17/27.66 | | | | | | | | | | | | | | (438) ~ (all_52_3 = e1)
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | REDUCE: (346), (436) imply:
% 183.17/27.66 | | | | | | | | | | | | | | (439) ~ (all_52_8 = e1)
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | REDUCE: (348), (436) imply:
% 183.17/27.66 | | | | | | | | | | | | | | (440) ~ (all_52_12 = e1)
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | REDUCE: (39), (436) imply:
% 183.17/27.66 | | | | | | | | | | | | | | (441) op(e3, e3) = e1
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 183.17/27.66 | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | Case 1:
% 183.17/27.66 | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | (442) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 183.17/27.66 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 183.17/27.66 | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 183.17/27.66 | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | (443) all_56_12 = e1 & op(e0, e3) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | ALPHA: (443) implies:
% 183.17/27.66 | | | | | | | | | | | | | | | | (444) op(e0, e3) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (438), (444), (function-axioms) are
% 183.17/27.66 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | Case 2:
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | (445) all_56_13 = e1 & op(e0, e2) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | ALPHA: (445) implies:
% 183.17/27.66 | | | | | | | | | | | | | | | | (446) all_56_13 = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | (447) op(e0, e2) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 183.17/27.66 | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66 | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | (448) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 183.17/27.66 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 183.17/27.66 | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 183.17/27.66 | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (449) all_56_9 = e1 & op(e3, e0) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | ALPHA: (449) implies:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (450) op(e3, e0) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (440), (450), (function-axioms) are
% 183.17/27.66 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (451) all_56_10 = e1 & op(e2, e0) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | ALPHA: (451) implies:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (452) all_56_10 = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (453) op(e2, e0) = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 183.17/27.66 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (447) gives:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (454) all_52_7 = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 183.17/27.66 | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (453) gives:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (455) all_52_13 = e1
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | REDUCE: (145), (455) imply:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (456) ~ (all_52_1 = e1)
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | REDUCE: (135), (454) imply:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (457) ~ (all_52_4 = e1)
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | REDUCE: (125), (454) imply:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (458) ~ (all_52_11 = e1)
% 183.17/27.66 | | | | | | | | | | | | | | | | | |
% 183.17/27.66 | | | | | | | | | | | | | | | | | | REDUCE: (117), (455) imply:
% 183.17/27.66 | | | | | | | | | | | | | | | | | | (459) ~ (all_52_9 = e1)
% 183.17/27.67 | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (110), (455) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | (460) ~ (all_52_14 = e1)
% 183.17/27.67 | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (371), (455) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | (461) ~ (all_14_2 = e1)
% 183.17/27.67 | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (360), (455) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | (462) ~ (all_4_2 = e1)
% 183.17/27.67 | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 183.17/27.67 | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | (463) ~ (all_28_2 = e2)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | REDUCE: (330), (463) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | (464) ~ (all_14_2 = e2)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | (465) all_54_15 = e3
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (465) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | (466) all_14_2 = e3
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (466) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | (467) $false
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | CLOSE: (467) is inconsistent.
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | (468) ~ (all_54_15 = e3)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | (469) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | (470) all_54_15 = e2
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (470) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | (471) all_14_2 = e2
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (471) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | (472) $false
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent.
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | (473) ~ (all_54_15 = e2)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | (474) all_54_15 = e1 | all_54_15 = e0
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (475) all_54_15 = e1
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (475) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (476) all_14_2 = e1
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (476) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (477) $false
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (477) is inconsistent.
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (478) all_54_15 = e0
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (478) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (479) all_14_2 = e0
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (480) ~ (all_52_3 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (481) ~ (all_52_11 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (482) ~ (all_52_12 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (483) ~ (all_52_14 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (484) ~ (e3 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (485) ~ (e2 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (486) ~ (e1 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (479) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | (487) op(e0, e0) = e0
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | (488) ~ (all_32_2 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (488) imply:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | (489) ~ (all_4_2 = e0)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | (490) all_54_5 = e3
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (490) are inconsistent by sub-proof
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | #1948.
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | (491) ~ (all_54_5 = e3)
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | (492) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | (493) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (494) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (163), (373), (397), (403), (487),
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (494), (function-axioms) are inconsistent by
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1946.
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (495) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (403), (487), (496), (function-axioms)
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1944.
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (398), (405), (497),
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1968.
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (498) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (499) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (501) implies:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) op(e0, e0) = e1
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (487), (502), (function-axioms) are
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) op(e2, e1) = e2
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (405), (489), (492), (504),
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1940.
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) op(e0, e0) = e1
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (487), (507), (function-axioms) are
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) op(e2, e2) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (268), (405), (489), (492), (510),
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1938.
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (511) implies:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) op(e1, e1) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (512), (function-axioms) are
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (513) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (513) gives:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (514), (function-axioms) are
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (516) implies:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) op(e1, e1) = e0
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (517), (function-axioms) are
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) op(e1, e0) = e1
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (520), (function-axioms) are
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (521) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (403), (405),
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (480), (481), (522), (function-axioms) are
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | (523) all_32_2 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | (524) ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_32_1 & $i(all_32_0) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e1) & op(e2, e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (523) imply:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | (525) all_4_2 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (525) imply:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | (526) op(e2, e2) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | (527) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_56_6 = e0 & op(e1, e3) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_56_6 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (530) op(e1, e3) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (531) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (531) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_56_0 = e0 & op(e3, e3) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (532) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) op(e3, e3) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (533), (function-axioms) are
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_56_1 = e0 & op(e3, e2) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_56_1 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (120), (168),
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (226), (227), (228), (234), (236),
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (441), (446), (457), (526), (535),
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1900.
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (536) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (536) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_56_4 = e0 & op(e3, e1) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (537) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) all_56_4 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) op(e3, e1) = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_32_1 & $i(all_32_0) &
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) ~ (all_32_0 = e3)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) op(e2, e0) = all_32_1
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) op(all_32_1, e2) = all_32_0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (530) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_52_2 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (453), (542) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) all_32_1 = e1
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (539) gives:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_52_8 = e0
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (544) imply:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) ~ (all_52_1 = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (544) imply:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) ~ (all_52_3 = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (544) imply:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) ~ (all_52_6 = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (549) implies:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) ~ (all_52_6 = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (544) imply:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) ~ (all_52_14 = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (546) imply:
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) ~ (all_52_4 = e0)
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (546) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) ~ (all_52_9 = e0)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (553) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ~ (all_52_9 = e0)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (546) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) ~ (all_52_11 = e0)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (545) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) op(e1, e2) = all_32_0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) ~ (all_42_2 = e1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (437), (557) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) $false
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (558) is inconsistent.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_26_1 & $i(all_26_0) &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (560) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) op(e3, e1) = all_26_1
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (117), (133), (136), (146), (157),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (195), (200), (203), (218),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (225), (227),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (258), (269), (272), (373), (397),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398), (399), (400), (403), (439), (441), (446),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452), (456), (457), (459), (480), (481), (483),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487), (526), (529), (538), (539), (541), (547),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550), (552), (554), (556), (559), (561),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1801.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) op(e3, e1) = all_26_1
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (117), (133), (136), (146), (157),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (195), (200), (203), (218),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (225), (227),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (258), (269), (272), (373), (397),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398), (399), (400), (403), (439), (441), (446),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452), (456), (457), (459), (480), (481), (483),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487), (526), (529), (538), (539), (541), (547),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550), (552), (554), (556), (559), (563),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1801.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (564) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) ~ (all_32_1 = e1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) op(e2, e0) = all_32_1
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (565), (566), (function-axioms) are
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1800.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) all_56_9 = e0 & op(e3, e0) = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (567) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) op(e3, e0) = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (482), (568), (function-axioms) are
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1799.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_56_7 = e0 & op(e1, e2) = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | (570) all_56_7 = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | (373), (446), (526), (570), (function-axioms) are
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1796.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | (571) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_56_8 = e0 & op(e1, e1) = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (572) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | (573) op(e1, e1) = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (573), (function-axioms) are
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_56_11 = e0 & op(e1, e0) = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (574) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | (575) op(e1, e0) = e0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (483), (575), (function-axioms) are
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (576) all_28_2 = e2
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (576) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (577) all_14_2 = e2
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | SIMP: (577) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (578) all_14_2 = e2
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (578) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (579) all_50_2 = e2
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (578) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (580) ~ (all_52_11 = e2)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (578) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (581) ~ (all_52_12 = e2)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (578) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (582) ~ (all_52_14 = e2)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (578) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (583) ~ (e3 = e2)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (578) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | (584) op(e0, e0) = e2
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | (585) ~ (all_50_2 = e2)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (585) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | (586) $false
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | CLOSE: (586) is inconsistent.
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | (587) ( ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_50_1 & $i(all_50_0) &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e0, e2)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (587) gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (588) ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_50_1 & $i(all_50_0) &
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | ALPHA: (588) implies:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (589) ~ (all_50_0 = e3)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (590) op(e0, e2) = all_50_1
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (591) op(all_50_1, e0) = all_50_0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (447), (590) gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (592) all_50_1 = e1
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (592) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (593) op(e1, e0) = all_50_0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | all_50_0, e0, e1, simplifying with (160), (593)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (594) all_52_14 = all_50_0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (594) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (595) all_54_11 = all_50_0
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (594) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (596) ~ (all_52_2 = all_50_0)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (594) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (597) ~ (all_52_6 = all_50_0)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (594) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (598) ~ (all_52_12 = all_50_0)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (594) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (599) ~ (all_50_0 = e2)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (594) imply:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | (600) ~ (all_50_0 = e1)
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 183.92/27.71 | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | (601) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (601) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | (602) all_56_9 = e3 & op(e3, e0) = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (602) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | (603) all_56_9 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | (604) op(e3, e0) = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | (605) all_56_15 = e0 & op(e0, e0) = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (605) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | (606) op(e0, e0) = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (584), (606), (function-axioms) are
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | (607) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (607) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | (608) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | (609) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_54_11 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (589), (595), (610) are inconsistent by sub-proof
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | #1795.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | (611) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (611) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_54_11 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (599), (612) are inconsistent by sub-proof
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #1794.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (613) ~ (all_54_11 = e2)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_54_11 = e1 | all_54_11 = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (609) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_56_9 = e0 & op(e3, e0) = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (615) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) op(e3, e0) = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (604), (616), (function-axioms) are
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (617) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_56_10 = e0 & op(e2, e0) = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (452), (618) are inconsistent by sub-proof
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1792.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_56_11 = e0 & op(e1, e0) = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (619) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) all_56_11 = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) all_54_11 = e1
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (600), (621) are inconsistent by sub-proof
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1791.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_54_11 = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (622) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_50_0 = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (623) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_50_0 = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (624) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) ~ (all_52_2 = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (624) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) ~ (all_52_6 = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (624) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) ~ (all_52_12 = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (624) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) ~ (e2 = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (624) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) ~ (e1 = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (624) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) op(e1, e0) = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_54_3 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (631) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) all_52_12 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (632) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) ~ (all_52_4 = e3)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (632) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_52_8 = e3)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (633), (635),
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1790.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (636) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) all_56_7 = e3 & op(e1, e2) = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (637) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) all_56_7 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) op(e1, e2) = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_56_6 = e2 & op(e1, e3) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (641) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) op(e1, e3) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (639) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_52_6 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (642) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_52_2 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (643) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) ~ (all_4_2 = e3)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) ~ (all_32_2 = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (646) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) ~ (all_4_2 = e0)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_54_5 = e3
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (648) are inconsistent by sub-proof
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1948.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) ~ (all_54_5 = e3)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_54_5 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (651) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_4_2 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (652) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_4_2 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (653) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) ~ (all_52_1 = e2)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (653) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) ~ (all_52_9 = e2)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (653) imply:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) op(e2, e2) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (657) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_56_0 = e2 & op(e3, e3) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (658) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) op(e3, e3) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (441), (659), (function-axioms) are
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_56_1 = e2 & op(e3, e2) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (660) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_56_1 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (446), (638), (656), (661),
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1786.
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (662) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) all_56_4 = e2 & op(e3, e1) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) op(e3, e1) = e2
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (162), (163), (167), (170), (373),
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397), (398), (633), (654), (656), (665),
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1781.
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (666) gives:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (667) gives:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (668) gives:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (669) implies:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) op(e0, e0) = e1
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (584), (670), (function-axioms) are
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (671) implies:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) op(e2, e1) = e2
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (655), (672), (function-axioms) are
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) op(e0, e0) = e1
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (584), (675), (function-axioms) are
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (677) implies:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) op(e2, e2) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (656), (678), (function-axioms) are
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (679) implies:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) op(e1, e1) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (680), (function-axioms) are
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (681) gives:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (682), (function-axioms) are
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (683) gives:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (684) implies:
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) op(e1, e1) = e0
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (685), (function-axioms) are
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 183.92/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (686) gives:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) op(e1, e0) = e1
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (688), (function-axioms) are
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (689) implies:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (692) implies:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) op(e2, e2) = e3
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (693), (function-axioms) are
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (694) gives:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) op(e1, e1) = e3
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (400), (638), (696), (function-axioms) are
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1769.
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) op(e3, e3) = e2
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (441), (698), (function-axioms) are
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (699) gives:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) op(e1, e1) = e2
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (701), (function-axioms) are
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (702) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (703) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) op(e0, e1) = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) op(e3, e1) = all_57_6
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_26_1 & $i(all_26_0) &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (706) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) ~ (all_26_0 = e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) op(e3, e1) = all_26_1
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) op(all_26_1, e3) = all_26_0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (704) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) all_52_11 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6, e1, e3, simplifying with (705), (708)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) all_57_6 = all_26_1
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_6,
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (664), (705) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) all_57_6 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (712) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) all_26_1 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (713) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) all_26_1 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (710) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) ~ (all_52_3 = e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (714) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) op(e2, e3) = all_26_0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_56_0 = e0 & op(e3, e3) = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (718) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) op(e3, e3) = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (719), (function-axioms) are
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) all_56_2 = e0 & op(e2, e3) = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (720) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) op(e2, e3) = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_0,
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (716), (721) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) all_26_0 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (722) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) $false
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (723) is inconsistent.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (625), (715), (724),
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1767.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (725) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) ~ (all_26_1 = e2)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) op(e3, e1) = all_26_1
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6, e1, e3, simplifying with (705), (727)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_57_6 = all_26_1
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_6,
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (664), (705) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) all_57_6 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (729) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) all_26_1 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (730) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) all_26_1 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (731) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) $false
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (732) is inconsistent.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (733) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) op(e2, e2) = e1
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (656), (734), (function-axioms) are
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) all_56_9 = e2 & op(e3, e0) = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_56_9 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (736) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) e3 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (737) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) e3 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (738) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_56_7 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (373), (457), (656), (739),
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_54_5 = e1 | all_54_5 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (405), (647), (740) are inconsistent by
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1941.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) all_32_2 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (741) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_4_2 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (742) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_4_2 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (743) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_36_2 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (743) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) ~ (all_52_4 = e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (743) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) ~ (e3 = e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (743) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) op(e2, e2) = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) ~ (all_36_2 = e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (748) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) $false
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (749) is inconsistent.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (751) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_56_1 = e2 & op(e3, e2) = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_56_1 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_54_1 = e3
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (633), (754) are inconsistent by sub-proof
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) ~ (all_54_1 = e3)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_54_1 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (757) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_52_4 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (758) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_52_4 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (759) imply:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) ~ (all_52_8 = e2)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (760) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) ~ (all_52_8 = e2)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_54_2 = e3
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (634), (762) are inconsistent by sub-proof
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1762.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) ~ (all_54_2 = e3)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (764) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) all_54_2 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (761), (765) are inconsistent by sub-proof
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) ~ (all_54_2 = e2)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_54_2 = e1 | all_54_2 = e0
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_56_4 = e2 & op(e3, e1) = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_56_4 = e2
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (767) gives:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_54_2 = e1
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (439), (771) are inconsistent by sub-proof
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1760.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) all_54_2 = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (772) imply:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_52_8 = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (773) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_52_8 = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (774) imply:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) ~ (all_52_11 = e0)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (775) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) ~ (all_52_11 = e0)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_54_14 = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (777) imply:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_52_11 = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (778) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_52_11 = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (779) imply:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) ~ (all_52_9 = e3)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (634), (780), (781),
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1757.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (782) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_56_8 = e3 & op(e1, e1) = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (783) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) op(e1, e1) = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (400), (638), (784), (function-axioms) are
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1769.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_56_14 = e3 & op(e0, e1) = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (785) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_56_14 = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (787) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_56_2 = e3 & op(e2, e3) = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (788) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_56_2 = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (790) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_56_4 = e0 & op(e3, e1) = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (770), (791) are inconsistent by sub-proof
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1876.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_56_5 = e0 & op(e2, e1) = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (792) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_56_5 = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (229),
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (441), (747), (789), (793),
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1839.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (794) gives:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_56_8 = e0 & op(e1, e1) = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) op(e1, e1) = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (218), (459), (770), (786),
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796), (function-axioms) are inconsistent by
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1752.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_56_14 = e0 & op(e0, e1) = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (797) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) op(e0, e1) = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (776), (798), (function-axioms) are
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_56_3 = e3 & op(e2, e2) = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (799) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) op(e2, e2) = e3
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (800), (function-axioms) are
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403), (452), (786), (801), (function-axioms) are
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1741.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (399), (580), (776), (802) are inconsistent
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1736.
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_56_5 = e2 & op(e2, e1) = e2
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_56_5 = e2
% 183.92/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) op(e2, e1) = e2
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (806) gives:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_56_4 = e3 & op(e3, e1) = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (807) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) op(e3, e1) = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (634), (808), (function-axioms) are
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_56_5 = e3 & op(e2, e1) = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (809) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_56_5 = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (804), (810) are inconsistent by sub-proof
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_56_8 = e3 & op(e1, e1) = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (812) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) op(e1, e1) = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (400), (638), (813), (function-axioms) are
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1769.
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_56_14 = e3 & op(e0, e1) = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (814) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_56_14 = e3
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (750) gives:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_36_1 & $i(all_36_0) &
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (816) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) op(e2, e0) = all_36_1
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (157),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (168), (169), (217),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (224), (225), (227), (229), (231),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (239), (373), (397), (398), (399), (403),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (446), (452), (453), (584), (625), (627),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634), (638), (747), (753), (805), (815), (817),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1716.
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) op(e2, e0) = all_36_1
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (157),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (168), (169), (217),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (224), (225), (227), (229), (231),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (239), (373), (397), (398), (399), (403),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (446), (452), (453), (584), (625), (627),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634), (638), (747), (753), (805), (815), (819),
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1716.
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (820) gives:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_56_8 = e2 & op(e1, e1) = e2
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (821) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) op(e1, e1) = e2
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (822), (function-axioms) are
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_56_14 = e2 & op(e0, e1) = e2
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (823) implies:
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_56_14 = e2
% 184.34/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (825) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) all_56_12 = e3 & op(e0, e3) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (826) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_56_12 = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (828) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) all_56_4 = e3 & op(e3, e1) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (829) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) op(e3, e1) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (634), (830), (function-axioms) are
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_56_5 = e3 & op(e2, e1) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (831) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_56_5 = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (833) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_56_0 = e0 & op(e3, e3) = e0
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (834) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) op(e3, e3) = e0
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (835), (function-axioms) are
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_56_2 = e0 & op(e2, e3) = e0
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (836) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_56_2 = e0
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (744), (747), (832), (837),
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1701.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (625), (827), (838), (function-axioms)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1699.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (839) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_56_8 = e3 & op(e1, e1) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (840) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) op(e1, e1) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (400), (638), (841), (function-axioms) are
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1769.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_56_14 = e3 & op(e0, e1) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (824), (842) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1698.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_56_13 = e3 & op(e0, e2) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (843) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_56_13 = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (207), (584), (608),
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (844), (function-axioms) are inconsistent
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1693.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (584), (824), (845), (function-axioms) are
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1691.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) all_54_1 = e1 | all_54_1 = e0
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (457), (745), (846) are inconsistent by
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1898.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_56_3 = e2 & op(e2, e2) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (847) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) op(e2, e2) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (747), (848), (function-axioms) are
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (849) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_56_7 = e2 & op(e1, e2) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (850) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_56_7 = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (638), (851) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1865.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_56_13 = e2 & op(e0, e2) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (852) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_56_13 = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (446), (853) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1916.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_56_7 = e2 & op(e1, e2) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (638), (854) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1925.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (855) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_56_8 = e2 & op(e1, e1) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (856) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) op(e1, e1) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (857), (function-axioms) are
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) all_56_11 = e2 & op(e1, e0) = e2
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (620), (858) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1690.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_56_13 = e3 & op(e0, e2) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (859) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_56_13 = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (446), (860) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1864.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (440), (581), (630), (861),
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1686.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | (862) all_56_10 = e3 & op(e2, e0) = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (862) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | (863) all_56_10 = e3
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (452), (863) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | | #1742.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | (864) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (168), (193), (206), (452),
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | (584), (589), (595), (598), (599), (600), (864),
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | | #1682.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | (865) ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 &
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | ALPHA: (865) implies:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | (866) ~ (all_50_1 = e1)
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | (867) op(e0, e2) = all_50_1
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (447), (867) gives:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | (868) all_50_1 = e1
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (868) imply:
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | (869) $false
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (869) is inconsistent.
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78 | | | | | | | | | | | | | | | | |
% 184.34/27.78 | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | (870) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (378), (400), (870),
% 184.34/27.79 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.79 | | | | | | | | | | | | | | | | | #1681.
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | End of split
% 184.34/27.79 | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | End of split
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | Case 2:
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | (871) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.34/27.79 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (871),
% 184.34/27.79 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.79 | | | | | | | | | | | | | | | #1680.
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | End of split
% 184.34/27.79 | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | End of split
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | Case 2:
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | (872) all_24_2 = e1
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | COMBINE_EQS: (318), (872) imply:
% 184.34/27.79 | | | | | | | | | | | | | (873) all_4_2 = e1
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | SIMP: (873) implies:
% 184.34/27.79 | | | | | | | | | | | | | (874) all_4_2 = e1
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | REDUCE: (356), (874) imply:
% 184.34/27.79 | | | | | | | | | | | | | (875) ~ (all_52_7 = e1)
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | REDUCE: (360), (874) imply:
% 184.34/27.79 | | | | | | | | | | | | | (876) ~ (all_52_13 = e1)
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | REDUCE: (36), (874) imply:
% 184.34/27.79 | | | | | | | | | | | | | (877) op(e2, e2) = e1
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | BETA: splitting (207) gives:
% 184.34/27.79 | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | (878) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.34/27.79 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 184.34/27.79 | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | BETA: splitting (878) gives:
% 184.34/27.79 | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | (879) all_56_12 = e1 & op(e0, e3) = e1
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | ALPHA: (879) implies:
% 184.34/27.79 | | | | | | | | | | | | | | | (880) all_56_12 = e1
% 184.34/27.79 | | | | | | | | | | | | | | | (881) op(e0, e3) = e1
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 184.34/27.79 | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | (882) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.34/27.79 | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | BETA: splitting (882) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | (883) all_56_9 = e1 & op(e3, e0) = e1
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | ALPHA: (883) implies:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (884) op(e3, e0) = e1
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 184.34/27.79 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (881) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (885) all_52_3 = e1
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 184.34/27.79 | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (884) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (886) all_52_12 = e1
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REDUCE: (140), (885) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (887) ~ (all_52_7 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REDUCE: (139), (885) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (888) ~ (all_52_11 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REDUCE: (133), (886) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (889) ~ (all_52_4 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REDUCE: (120), (886) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (890) ~ (all_52_8 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REDUCE: (112), (886) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (891) ~ (all_52_14 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REDUCE: (370), (886) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (892) ~ (all_14_2 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | REDUCE: (348), (886) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (893) ~ (all_6_2 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | SIMP: (893) implies:
% 184.34/27.79 | | | | | | | | | | | | | | | | | (894) ~ (all_6_2 = e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | (895) all_54_0 = e3
% 184.34/27.79 | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (895) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | (896) all_6_2 = e3
% 184.34/27.79 | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | REDUCE: (344), (896) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | (897) ~ (all_52_4 = e3)
% 184.34/27.79 | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | REDUCE: (346), (896) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | (898) ~ (all_52_8 = e3)
% 184.34/27.79 | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | REDUCE: (39), (896) imply:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | (899) op(e3, e3) = e3
% 184.34/27.79 | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | (900) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (900) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | (901) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (901) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | (902) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (403), (902), (function-axioms)
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1976.
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | (903) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (397), (877), (903), (function-axioms)
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1678.
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | (904) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (904) gives:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | (905) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (897), (905), (function-axioms) are
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1971.
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | (906) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (398), (898), (906),
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | | #1677.
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.80 | | | | | | | | | | | | | | | | | | |
% 184.34/27.80 | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.80 | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (907) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 184.45/27.80 | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (907) gives:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | (908) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (908) gives:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | (909) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (378), (899), (909), (function-axioms)
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1965.
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | (910) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (910) gives:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | (911) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (911) implies:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | (912) op(e0, e0) = e1
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (912), (function-axioms) are
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | (913) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (877), (913), (function-axioms) are
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1676.
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | | End of split
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | |
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.80 | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | (914) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | (915) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (899), (915), (function-axioms) are
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | (916) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (916) gives:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | (917) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (917) implies:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | (918) op(e1, e1) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (918), (function-axioms) are
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | (919) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (919) gives:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (920) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (920) implies:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (921) op(e1, e0) = e1
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (921), (function-axioms) are
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (922) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (922) implies:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (923) op(e0, e0) = all_57_15
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (924) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (924) gives:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | (925) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (925) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | (926) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (926) implies:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | (927) op(e2, e2) = e3
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (877), (927), (function-axioms) are
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | (928) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (403), (899), (928), (function-axioms)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1956.
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | (929) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (929) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | (931) op(e1, e1) = e2
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (931), (function-axioms) are
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | (932) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (932) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (933) implies:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (934) op(e3, e3) = e1
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (899), (934), (function-axioms) are
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (935) implies:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_57_8 = e0
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (937) ~ (all_57_15 = e1)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (938) ~ (all_57_7 = e2)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (939) op(e0, e1) = e0
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (940) op(e2, e1) = all_57_7
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (51), (923)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_57_15 = all_14_2
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (939) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_52_11 = e0
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7, e1, e2, simplifying with (165), (940)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_57_7 = all_52_9
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (943) imply:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (944) ~ (all_52_9 = e2)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (942) imply:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (945) ~ (all_52_7 = e0)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (942) imply:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (946) ~ (all_52_8 = e0)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (942) imply:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (947) ~ (all_14_2 = e0)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (947) implies:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (948) ~ (all_14_2 = e0)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (399), (942) imply:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (949) ~ (e1 = e0)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) all_54_15 = e3
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (950) are inconsistent by sub-proof
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1675.
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) ~ (all_54_15 = e3)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (953) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_56_12 = e3 & op(e0, e3) = e3
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (954) implies:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_56_12 = e3
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (880), (955) are inconsistent by sub-proof
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1674.
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) all_56_13 = e3 & op(e0, e2) = e3
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (956) implies:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) op(e0, e2) = e3
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (958) gives:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (959) gives:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (877), (897), (960), (function-axioms)
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1673.
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (397), (899), (961), (function-axioms)
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1672.
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (962) gives:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (899), (939), (963),
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1670.
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (165), (398), (944), (964),
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1669.
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (965) gives:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (966) gives:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (967) gives:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (968) implies:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) op(e2, e2) = e0
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (877), (969), (function-axioms) are
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (970) implies:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_57_15 = e2
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) op(e0, e2) = e0
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (971) imply:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_14_2 = e2
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (973) imply:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_28_2 = e2
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (73), (957), (972), (974), (function-axioms)
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1666.
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (975),
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1665.
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (51), (134), (164), (165), (202),
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (223), (246), (271), (272), (371), (373),
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (877), (889), (890), (897), (898), (936),
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941), (944), (946), (948), (952), (976),
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1656.
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (977) gives:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_56_14 = e3 & op(e0, e1) = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (978) implies:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_56_14 = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (980) gives:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (981) gives:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (877), (897), (982), (function-axioms)
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1673.
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (397), (899), (983), (function-axioms)
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1672.
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (899), (939), (985),
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1670.
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (986) gives:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (987) implies:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (936), (948), (952), (988),
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1657.
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (989) implies:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) op(e1, e2) = e1
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (398), (990), (function-axioms) are
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (991) gives:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (992) gives:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (993) gives:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (994) implies:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) op(e2, e2) = e0
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (877), (995), (function-axioms) are
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (996) implies:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_57_15 = e2
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (997) imply:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_14_2 = e2
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (998) imply:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) all_28_2 = e2
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (998) imply:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) ~ (all_52_7 = e2)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (998) imply:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) op(e0, e0) = e2
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_56_15 = e0 & op(e0, e0) = e0
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1002) implies:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) op(e0, e0) = e0
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1001), (1003), (function-axioms) are
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1004) implies:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) all_54_13 = e3
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1006) imply:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_52_7 = e3
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1007) implies:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_52_7 = e3
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (1008) imply:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) op(e0, e2) = e3
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) ~ (all_28_2 = e2)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (999), (1010) imply:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) $false
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1011) is inconsistent.
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1012) gives:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_28_1 & $i(all_28_0) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1013) implies:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) op(e0, e2) = all_28_1
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (939), (979), (1005),
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009), (1014), (function-axioms) are inconsistent
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1655.
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1015) implies:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) op(e0, e2) = all_28_1
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (939), (979), (1005),
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009), (1016), (function-axioms) are inconsistent
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1655.
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (875), (945), (1000), (1017) are
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1651.
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (1018),
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1665.
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (51), (134), (164), (165), (202),
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (223), (246), (271), (272), (371), (373),
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (877), (889), (890), (897), (898), (936),
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941), (944), (946), (948), (952), (1019),
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1656.
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_56_15 = e3 & op(e0, e0) = e3
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1020) implies:
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) op(e0, e0) = e3
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (1021), (function-axioms) are
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1977.
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | (1022) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.58/27.88 | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (894), (1022) are
% 184.58/27.88 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 184.58/27.88 | | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | (1023) all_56_10 = e1 & op(e2, e0) = e1
% 184.58/27.88 | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | ALPHA: (1023) implies:
% 184.58/27.88 | | | | | | | | | | | | | | | | | (1024) op(e2, e0) = e1
% 184.58/27.88 | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (876), (1024), (function-axioms) are
% 184.58/27.88 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 184.58/27.88 | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | (1025) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.58/27.88 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (378), (400), (1025),
% 184.58/27.88 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.88 | | | | | | | | | | | | | | | | #1681.
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | (1026) all_56_13 = e1 & op(e0, e2) = e1
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | ALPHA: (1026) implies:
% 184.58/27.88 | | | | | | | | | | | | | | | (1027) op(e0, e2) = e1
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | REF_CLOSE: (158), (875), (1027), (function-axioms) are
% 184.58/27.88 | | | | | | | | | | | | | | | inconsistent by sub-proof #1649.
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | (1028) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.58/27.88 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (1028),
% 184.58/27.88 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.88 | | | | | | | | | | | | | | #1680.
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | (1029) all_54_10 = e0
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | COMBINE_EQS: (336), (1029) imply:
% 184.58/27.88 | | | | | | | | | | | | (1030) all_10_2 = e0
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | REDUCE: (384), (1030) imply:
% 184.58/27.88 | | | | | | | | | | | | (1031) $false
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | CLOSE: (1031) is inconsistent.
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | (1032) all_22_2 = e0
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | COMBINE_EQS: (251), (1032) imply:
% 184.58/27.88 | | | | | | | | | (1033) all_10_2 = e0
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | SIMP: (1033) implies:
% 184.58/27.88 | | | | | | | | | (1034) all_10_2 = e0
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (350), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1035) ~ (all_52_2 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (361), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1036) ~ (all_52_6 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (363), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1037) ~ (all_52_8 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (364), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1038) ~ (all_52_9 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (366), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1039) ~ (all_52_11 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (368), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1040) ~ (all_52_14 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (382), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1041) ~ (e3 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (375), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1042) ~ (e2 = e0)
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | REDUCE: (45), (1034) imply:
% 184.58/27.88 | | | | | | | | | (1043) op(e1, e1) = e0
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | BETA: splitting (67) gives:
% 184.58/27.88 | | | | | | | | |
% 184.58/27.88 | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | (1044) ~ (all_24_2 = e1)
% 184.58/27.88 | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | REDUCE: (318), (1044) imply:
% 184.58/27.88 | | | | | | | | | | (1045) ~ (all_4_2 = e1)
% 184.58/27.88 | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | BETA: splitting (70) gives:
% 184.58/27.88 | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | (1046) ~ (all_26_2 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (307), (1046) imply:
% 184.58/27.88 | | | | | | | | | | | (1047) ~ (all_6_2 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 184.58/27.88 | | | | | | | | | | | (128), (136), (157), (158), (160), (162), (164),
% 184.58/27.88 | | | | | | | | | | | (168), (169), (170), (189), (199), (204), (206),
% 184.58/27.88 | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 184.58/27.88 | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 184.58/27.88 | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 184.58/27.88 | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 184.58/27.88 | | | | | | | | | | | (238), (239), (246), (268), (279), (330), (344),
% 184.58/27.88 | | | | | | | | | | | (346), (348), (352), (354), (360), (370), (371),
% 184.58/27.88 | | | | | | | | | | | (373), (374), (377), (378), (380), (1036), (1039),
% 184.58/27.88 | | | | | | | | | | | (1040), (1043), (1045), (1047), (function-axioms)
% 184.58/27.88 | | | | | | | | | | | are inconsistent by sub-proof #1489.
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | (1048) all_26_2 = e1
% 184.58/27.88 | | | | | | | | | | | (1049) ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 184.58/27.88 | | | | | | | | | | | & op(e3, e1) = all_26_1 & $i(all_26_0) &
% 184.58/27.88 | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 184.58/27.88 | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | COMBINE_EQS: (307), (1048) imply:
% 184.58/27.88 | | | | | | | | | | | (1050) all_6_2 = e1
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | COMBINE_EQS: (303), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1051) all_42_2 = e1
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (338), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1052) ~ (all_52_1 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (340), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1053) ~ (all_52_2 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (342), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1054) ~ (all_52_3 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (344), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1055) ~ (all_52_4 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (346), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1056) ~ (all_52_8 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (348), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1057) ~ (all_52_12 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (377), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1058) ~ (e2 = e1)
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | REDUCE: (39), (1050) imply:
% 184.58/27.88 | | | | | | | | | | | (1059) op(e3, e3) = e1
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | BETA: splitting (73) gives:
% 184.58/27.88 | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | (1060) ~ (all_28_2 = e2)
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | REDUCE: (330), (1060) imply:
% 184.58/27.88 | | | | | | | | | | | | (1061) ~ (all_14_2 = e2)
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | BETA: splitting (189) gives:
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | (1062) all_54_15 = e3
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | REF_CLOSE: (246), (380), (1062) are inconsistent by sub-proof
% 184.58/27.88 | | | | | | | | | | | | | #1675.
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | (1063) ~ (all_54_15 = e3)
% 184.58/27.88 | | | | | | | | | | | | | (1064) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (51), (113), (117), (120),
% 184.58/27.88 | | | | | | | | | | | | | (145), (148), (157), (159), (160), (163), (164),
% 184.58/27.88 | | | | | | | | | | | | | (165), (167), (168), (169), (170), (197), (199),
% 184.58/27.88 | | | | | | | | | | | | | (214), (218), (219), (220), (229), (230), (238),
% 184.58/27.88 | | | | | | | | | | | | | (239), (246), (260), (268), (351), (352), (358),
% 184.58/27.88 | | | | | | | | | | | | | (360), (369), (370), (372), (373), (378), (380),
% 184.58/27.88 | | | | | | | | | | | | | (1035), (1043), (1045), (1053), (1055), (1059),
% 184.58/27.88 | | | | | | | | | | | | | (1061), (1064), (function-axioms) are inconsistent
% 184.58/27.88 | | | | | | | | | | | | | by sub-proof #1470.
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | End of split
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | (1065) all_28_2 = e2
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | COMBINE_EQS: (330), (1065) imply:
% 184.58/27.88 | | | | | | | | | | | | (1066) all_14_2 = e2
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | SIMP: (1066) implies:
% 184.58/27.88 | | | | | | | | | | | | (1067) all_14_2 = e2
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | REDUCE: (370), (1067) imply:
% 184.58/27.88 | | | | | | | | | | | | (1068) ~ (all_52_12 = e2)
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | REDUCE: (371), (1067) imply:
% 184.58/27.88 | | | | | | | | | | | | (1069) ~ (all_52_13 = e2)
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | REDUCE: (372), (1067) imply:
% 184.58/27.88 | | | | | | | | | | | | (1070) ~ (all_52_14 = e2)
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | REDUCE: (380), (1067) imply:
% 184.58/27.88 | | | | | | | | | | | | (1071) ~ (e3 = e2)
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | REDUCE: (51), (1067) imply:
% 184.58/27.88 | | | | | | | | | | | | (1072) op(e0, e0) = e2
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | BETA: splitting (79) gives:
% 184.58/27.88 | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | (1073) ~ (all_32_2 = e0)
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | REDUCE: (314), (1073) imply:
% 184.58/27.88 | | | | | | | | | | | | | (1074) ~ (all_4_2 = e0)
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 184.58/27.88 | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | (1075) all_54_5 = e3
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | COMBINE_EQS: (268), (1075) imply:
% 184.58/27.88 | | | | | | | | | | | | | | (1076) all_4_2 = e3
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | REDUCE: (373), (1076) imply:
% 184.58/27.88 | | | | | | | | | | | | | | (1077) $false
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | CLOSE: (1077) is inconsistent.
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | (1078) ~ (all_54_5 = e3)
% 184.58/27.88 | | | | | | | | | | | | | | (1079) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | BETA: splitting (1079) gives:
% 184.58/27.88 | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | (1080) all_54_5 = e2
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (1080) imply:
% 184.58/27.88 | | | | | | | | | | | | | | | (1081) all_4_2 = e2
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | REDUCE: (349), (1081) imply:
% 184.58/27.88 | | | | | | | | | | | | | | | (1082) ~ (all_52_1 = e2)
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | REDUCE: (356), (1081) imply:
% 184.58/27.88 | | | | | | | | | | | | | | | (1083) ~ (all_52_7 = e2)
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | REDUCE: (358), (1081) imply:
% 184.58/27.88 | | | | | | | | | | | | | | | (1084) ~ (all_52_9 = e2)
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | REDUCE: (36), (1081) imply:
% 184.58/27.88 | | | | | | | | | | | | | | | (1085) op(e2, e2) = e2
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.58/27.88 | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | (1086) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.58/27.88 | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (1059), (1082), (1086),
% 184.58/27.88 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.88 | | | | | | | | | | | | | | | | #1469.
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | (1087) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.58/27.88 | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 184.58/27.88 | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.88 | | | | | | | | | | | | | | | | |
% 184.58/27.88 | | | | | | | | | | | | | | | | | (1088) all_56_6 = e2 & op(e1, e3) = e2
% 184.58/27.88 | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (94), (110),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (113), (117), (118), (120), (121), (123), (125),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (128), (133), (139), (140), (144), (145), (146),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (148), (149), (157), (159), (160), (162), (163),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (191), (192), (197), (198), (200), (201), (206),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (207), (209), (210), (212), (215), (216), (218),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (229),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (231), (233), (235), (238), (239), (247), (248),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (249), (260), (261), (269), (270), (373), (1037),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (1038), (1039), (1043), (1049), (1051), (1052),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (1053), (1054), (1056), (1057), (1059), (1069),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (1072), (1083), (1084), (1085), (1088),
% 184.58/27.89 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.89 | | | | | | | | | | | | | | | | | #1421.
% 184.58/27.89 | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | (1089) all_56_12 = e2 & op(e0, e3) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | ALPHA: (1089) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | (1090) all_56_12 = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | (1091) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1092) all_56_6 = e2 & op(e1, e3) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (94), (110),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (113), (117), (118), (120), (121), (123), (125),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (128), (133), (139), (140), (144), (145), (146),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (148), (149), (157), (159), (160), (162), (163),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (191), (192), (197), (198), (200), (201), (206),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (207), (209), (210), (212), (215), (216), (218),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (229),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (231), (233), (235), (238), (239), (247), (248),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (249), (260), (261), (269), (270), (373), (1037),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1038), (1039), (1043), (1049), (1051), (1052),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1053), (1054), (1056), (1057), (1059), (1069),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1072), (1083), (1084), (1085), (1092),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | #1421.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1093) all_56_7 = e2 & op(e1, e2) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | ALPHA: (1093) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1094) all_56_7 = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (226), (228), (373), (1055), (1085), (1094),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | #1764.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | (1095) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | BETA: splitting (1095) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1096) all_56_8 = e2 & op(e1, e1) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1097) op(e1, e1) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1097), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1098) all_56_11 = e2 & op(e1, e0) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | ALPHA: (1098) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | (1099) all_56_11 = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | (1100) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1100) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | (1101) all_56_6 = e1 & op(e1, e3) = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1101) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | (1102) op(e1, e3) = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1053), (1102), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | (1103) all_56_7 = e1 & op(e1, e2) = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1103) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | (1104) all_56_7 = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | (1105) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1105) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | (1106) all_56_9 = e1 & op(e3, e0) = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1106) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | (1107) op(e3, e0) = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1057), (1107), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | (1108) all_56_10 = e1 & op(e2, e0) = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1108) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | (1109) all_56_10 = e1
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | (1110) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | (1111) all_56_4 = e2 & op(e3, e1) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1111) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_56_4 = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_56_15 = e0 & op(e0, e0) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) op(e0, e0) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1072), (1114), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1115) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1117) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_56_9 = e3 & op(e3, e0) = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1118) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) op(e3, e0) = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_56_0 = e0 & op(e3, e3) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1121) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) op(e3, e3) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1122), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_56_1 = e0 & op(e3, e2) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1123) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) all_56_1 = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1116) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) all_56_12 = e0 & op(e0, e3) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043), (1090), (1112), (1125), (function-axioms)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1560.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1126) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_56_13 = e0 & op(e0, e2) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_56_13 = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (228), (373), (1104), (1124),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128), (function-axioms) are inconsistent by
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_56_14 = e0 & op(e0, e1) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1129) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) op(e0, e1) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1039), (1130), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1131) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) all_56_4 = e0 & op(e3, e1) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1132) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) all_56_4 = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043), (1133), (function-axioms) are inconsistent
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1809.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_56_9 = e0 & op(e3, e0) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1134) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) op(e3, e0) = e0
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1119), (1135), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_56_10 = e3 & op(e2, e0) = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1136) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_56_10 = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1109), (1137) are inconsistent by sub-proof
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1742.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1138) gives:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_56_11 = e3 & op(e1, e0) = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1139) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_56_11 = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1099), (1140) are inconsistent by sub-proof
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1619.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_56_15 = e3 & op(e0, e0) = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) op(e0, e0) = e3
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1072), (1142), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1692.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_56_5 = e2 & op(e2, e1) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1143) implies:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | (1144) op(e2, e1) = e2
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1084), (1144), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | (1145) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (207), (209), (218), (219), (220),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | (1043), (1054), (1056), (1072), (1145),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | | #1422.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | (1146) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1072), (1099), (1146), (function-axioms) are
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1418.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | (1147) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1043), (1099), (1147),
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | | #1491.
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | End of split
% 184.58/27.89 | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | Case 2:
% 184.58/27.89 | | | | | | | | | | | | | | |
% 184.58/27.89 | | | | | | | | | | | | | | | (1148) all_54_5 = e1 | all_54_5 = e0
% 184.58/27.90 | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | REF_CLOSE: (268), (1045), (1074), (1148) are inconsistent by
% 184.58/27.90 | | | | | | | | | | | | | | | sub-proof #1941.
% 184.58/27.90 | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | End of split
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | End of split
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | (1149) all_32_2 = e0
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | COMBINE_EQS: (314), (1149) imply:
% 184.58/27.90 | | | | | | | | | | | | | (1150) all_4_2 = e0
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | SIMP: (1150) implies:
% 184.58/27.90 | | | | | | | | | | | | | (1151) all_4_2 = e0
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | COMBINE_EQS: (309), (1151) imply:
% 184.58/27.90 | | | | | | | | | | | | | (1152) all_36_2 = e0
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | REDUCE: (1045), (1151) imply:
% 184.58/27.90 | | | | | | | | | | | | | (1153) ~ (e1 = e0)
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | REDUCE: (36), (1151) imply:
% 184.58/27.90 | | | | | | | | | | | | | (1154) op(e2, e2) = e0
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | BETA: splitting (206) gives:
% 184.58/27.90 | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | (1155) all_56_15 = e0 & op(e0, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | ALPHA: (1155) implies:
% 184.58/27.90 | | | | | | | | | | | | | | (1156) op(e0, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | REF_CLOSE: (5), (1072), (1156), (function-axioms) are
% 184.58/27.90 | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | (1157) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.90 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.58/27.90 | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.58/27.90 | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.58/27.90 | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | ALPHA: (1157) implies:
% 184.58/27.90 | | | | | | | | | | | | | | (1158) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.58/27.90 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.58/27.90 | | | | | | | | | | | | | | e1) = e0)
% 184.58/27.90 | | | | | | | | | | | | | | (1159) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.90 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 184.58/27.90 | | | | | | | | | | | | | | e0) = e0)
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 184.58/27.90 | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | (1160) all_56_12 = e0 & op(e0, e3) = e0
% 184.58/27.90 | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | ALPHA: (1160) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | (1161) all_56_12 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | (1162) op(e0, e3) = e0
% 184.58/27.90 | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 184.58/27.90 | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | (1163) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | BETA: splitting (1163) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1164) all_56_0 = e0 & op(e3, e3) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | ALPHA: (1164) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1165) op(e3, e3) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1165), (function-axioms) are
% 184.58/27.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1166) all_56_1 = e0 & op(e3, e2) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | ALPHA: (1166) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1167) all_56_1 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1168) all_56_9 = e0 & op(e3, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | ALPHA: (1168) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1169) all_56_9 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1170) op(e3, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (1059),
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1167), (1169), (1170), (function-axioms) are
% 184.58/27.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1171) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 184.58/27.90 | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | BETA: splitting (1171) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1172) all_56_10 = e0 & op(e2, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | ALPHA: (1172) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1173) all_56_10 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (373), (1059),
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1069), (1154), (1173), (function-axioms) are
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1410.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1174) all_56_11 = e0 & op(e1, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | ALPHA: (1174) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1175) op(e1, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1175), (function-axioms) are
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | End of split
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | End of split
% 184.58/27.90 | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | (1176) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | BETA: splitting (1176) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1177) all_56_4 = e0 & op(e3, e1) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | ALPHA: (1177) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1178) all_56_4 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1043), (1178), (function-axioms) are inconsistent
% 184.58/27.90 | | | | | | | | | | | | | | | | | by sub-proof #1809.
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1179) all_56_9 = e0 & op(e3, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | ALPHA: (1179) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1180) all_56_9 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1181) op(e3, e0) = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 184.58/27.90 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (1162) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1182) all_52_3 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 184.58/27.90 | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (1181) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1183) all_52_12 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | REDUCE: (148), (1182) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1184) ~ (all_52_1 = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | REDUCE: (139), (1182) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1185) ~ (all_52_11 = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | REDUCE: (133), (1183) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1186) ~ (all_52_4 = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | REDUCE: (113), (1183) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1187) ~ (all_52_13 = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | SIMP: (1187) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1188) ~ (all_52_13 = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | REDUCE: (112), (1183) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | (1189) ~ (all_52_14 = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1190) ~ (all_36_2 = e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | REDUCE: (1152), (1190) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1191) $false
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | CLOSE: (1191) is inconsistent.
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | (1192) ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 184.58/27.90 | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1193) all_54_8 = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (1193) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1194) all_52_2 = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | SIMP: (1194) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1195) all_52_2 = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1195) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1196) ~ (all_52_1 = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1195) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1197) ~ (all_52_6 = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | SIMP: (1197) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1198) ~ (all_52_6 = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1195) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1199) ~ (all_52_14 = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | SIMP: (1199) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | (1200) ~ (all_52_14 = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | (1201) all_54_4 = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1196), (1201) are inconsistent by
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | sub-proof #1409.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | (1202) ~ (all_54_4 = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | (1203) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | (1204) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1204) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | (1205) all_56_6 = e2 & op(e1, e3) = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1205) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | (1206) all_56_6 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1043), (1198),
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | (1200), (1206), (function-axioms) are inconsistent
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1405.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | (1207) all_56_7 = e2 & op(e1, e2) = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1207) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | (1208) all_56_7 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | (1209) all_54_11 = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1209) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | (1210) all_52_14 = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1200), (1210) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | (1211) $false
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1211) is inconsistent.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | (1212) ~ (all_54_11 = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | (1213) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | (1214) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_56_9 = e3 & op(e3, e0) = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1215) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | (1216) op(e3, e0) = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1181), (1216), (function-axioms) are
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_56_10 = e3 & op(e2, e0) = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1217) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_56_10 = e3
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_56_0 = e2 & op(e3, e3) = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1220) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) op(e3, e3) = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1059), (1221), (function-axioms) are
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_56_2 = e2 & op(e2, e3) = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1222) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_56_2 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) op(e2, e3) = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1203) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_54_4 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1225) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_52_1 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1226) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_52_1 = e2
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1227) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) ~ (all_52_9 = e2)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1228) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) ~ (all_52_9 = e2)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1227) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) ~ (all_52_13 = e2)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1055), (1154), (1231),
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_56_7 = e1 & op(e1, e2) = e1
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1233) implies:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_56_7 = e1
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1208), (1234) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) e2 = e1
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1223), (1235) imply:
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_56_2 = e1
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059), (1236), (function-axioms) are inconsistent
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1844.
% 184.58/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_56_13 = e1 & op(e0, e2) = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1237) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_56_13 = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_56_1 = e3 & op(e3, e2) = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1240) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_56_1 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059), (1154), (1242), (function-axioms) are
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_56_5 = e1 & op(e2, e1) = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1244) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_56_5 = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) op(e2, e1) = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (207), (209), (218), (219), (220),
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043), (1054), (1056), (1072), (1245), (1246),
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247), (function-axioms) are inconsistent by
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1402.
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1248) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_56_8 = e3 & op(e1, e1) = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1249) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) op(e1, e1) = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1043), (1250), (function-axioms) are
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_56_14 = e3 & op(e0, e1) = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1251) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_56_14 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (168), (219),
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (232), (373), (1043), (1057),
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218), (1241), (1245), (1246), (1252), (1253),
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1254) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_56_6 = e3 & op(e1, e3) = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1255) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_56_6 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1213) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_54_11 = e2
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1257) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_52_14 = e2
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (1258) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) $false
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1259) is inconsistent.
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_54_11 = e1 | all_54_11 = e0
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1260) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_54_11 = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1261) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_52_14 = e1
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1262) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) ~ (all_52_6 = e1)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1262) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) ~ (all_52_13 = e1)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_54_9 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1265) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_52_6 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1198), (1266) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) $false
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1267) is inconsistent.
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_54_7 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (1269) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_52_13 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1270) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_52_13 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1271) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) ~ (all_52_9 = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1271) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) op(e2, e0) = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1268) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_54_9 = e2
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1274) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_52_6 = e2
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1275) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_52_6 = e2
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1276) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) ~ (all_52_4 = e2)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_54_1 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1278) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_52_4 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1279) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_52_4 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1280) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) ~ (all_52_8 = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1281) implies:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) ~ (all_52_8 = e3)
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1280) imply:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) op(e3, e2) = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1284) gives:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (1059), (1286),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1893.
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1053), (1282), (1287),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1733.
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1288) gives:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1290) implies:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) op(e3, e3) = e0
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1291), (function-axioms) are
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1292) implies:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) op(e0, e0) = e3
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (157), (160), (163), (165), (167), (169),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (202), (208), (214), (215), (216), (218),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (226), (233), (234), (236), (238),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (373), (1037), (1038), (1039), (1043),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053), (1056), (1059), (1154), (1161), (1162),
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180), (1181), (1200), (1293), (function-axioms)
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1379.
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1059), (1154), (1283), (1294),
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1295) gives:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1296) gives:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1297) gives:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1298) implies:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) op(e2, e0) = e2
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1192), (1273), (1299), (function-axioms) are
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1707.
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1300) implies:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1059), (1283), (1301), (function-axioms) are
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1888.
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1302) gives:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1303) implies:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) op(e0, e1) = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_54_6 = e3
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1272), (1305) are inconsistent by
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1306) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_54_6 = e2
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1229), (1307) are inconsistent by
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1467.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_54_6 = e1 | all_54_6 = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (1038), (1304), (1308),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1451.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1309) implies:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) op(e1, e0) = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1310), (function-axioms) are
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1311) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (1059), (1161), (1223),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256), (1283), (1312), (function-axioms) are
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1377.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (1043), (1072), (1313),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1433.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1055), (1186), (1277), (1314) are
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_54_9 = e1 | all_54_9 = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1036), (1263), (1315) are inconsistent by
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1802.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1069), (1188), (1264), (1316) are
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_54_11 = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1317) imply:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_52_14 = e0
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1040), (1318) imply:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) $false
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1319) is inconsistent.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_56_12 = e3 & op(e0, e3) = e3
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (1059),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161), (1180), (1181), (1241), (1320),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1374.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_56_10 = e1 & op(e2, e0) = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1218), (1321) are inconsistent by sub-proof
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1539.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_56_3 = e3 & op(e2, e2) = e3
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1322) implies:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) op(e2, e2) = e3
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1323), (function-axioms) are
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (1198), (1238), (1324),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) ~ (all_54_4 = e2)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (1325) imply:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) ~ (all_52_1 = e2)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1224), (1326), (function-axioms) are
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1785.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1327) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_56_6 = e2 & op(e1, e3) = e2
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_56_6 = e2
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1055), (1154), (1330),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_56_7 = e1 & op(e1, e2) = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1332) implies:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_56_7 = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1208), (1333) imply:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) e2 = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1334) imply:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_56_6 = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (1043),
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333), (1335), (function-axioms) are inconsistent
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1616.
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_56_13 = e1 & op(e0, e2) = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1336) implies:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_56_13 = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_56_1 = e3 & op(e3, e2) = e3
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1339) implies:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_56_1 = e3
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 184.99/27.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059), (1154), (1341), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1342) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_56_5 = e1 & op(e2, e1) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1343) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_56_5 = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) op(e2, e1) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (207), (209), (218), (219), (220),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043), (1054), (1056), (1072), (1344), (1345),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346), (function-axioms) are inconsistent by
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1402.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1347) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_56_8 = e3 & op(e1, e1) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1348) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) op(e1, e1) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1043), (1349), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_56_14 = e3 & op(e0, e1) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1350) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_56_14 = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (168), (219),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (232), (373), (1043), (1057),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218), (1340), (1344), (1345), (1351), (1352),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_56_6 = e3 & op(e1, e3) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1354) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_56_6 = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1355) imply:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) e3 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1356) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) e3 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1351), (1357) imply:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_56_14 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (218), (219), (220), (1043), (1072),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337), (1344), (1358), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1424.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_56_12 = e3 & op(e0, e3) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (1059),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161), (1180), (1181), (1340), (1359),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1374.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_56_10 = e1 & op(e2, e0) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1218), (1360) are inconsistent by sub-proof
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1539.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_56_3 = e3 & op(e2, e2) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1361) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) op(e2, e2) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1362), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (1198), (1337), (1363),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_56_12 = e2 & op(e0, e3) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1364) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_56_12 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1161), (1365) are inconsistent by sub-proof
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1852.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (1366) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (146), (157), (160), (163), (165), (167), (169),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (170), (202), (208), (214), (215), (216), (218),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (226), (233), (234), (236), (238),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (271), (373), (1037), (1038), (1039), (1043),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (1053), (1056), (1059), (1154), (1161), (1162),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (1180), (1181), (1200), (1366), (function-axioms)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1372.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | (1367) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | (1368) all_56_8 = e2 & op(e1, e1) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1368) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | (1369) op(e1, e1) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1369), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | (1370) all_56_11 = e2 & op(e1, e0) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1370) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | (1371) all_56_11 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (1372) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1372) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_56_9 = e3 & op(e3, e0) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1373) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (1374) op(e3, e0) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1181), (1374), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_56_10 = e3 & op(e2, e0) = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1375) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_56_10 = e3
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | (1377) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1377) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_56_0 = e2 & op(e3, e3) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1378) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) op(e3, e3) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1059), (1379), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_56_2 = e2 & op(e2, e3) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1380) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_56_2 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_56_9 = e1 & op(e3, e0) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1383) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) op(e3, e0) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1057), (1384), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_56_10 = e1 & op(e2, e0) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1385) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_56_10 = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1376), (1386) are inconsistent by sub-proof
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1742.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1387) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_56_11 = e1 & op(e1, e0) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1388) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_56_11 = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1371), (1389) imply:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) e2 = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1381), (1390) imply:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_56_2 = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059), (1391), (function-axioms) are inconsistent
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1844.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_56_15 = e1 & op(e0, e0) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) op(e0, e0) = e1
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1072), (1393), (function-axioms) are
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | (1394) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1394) gives:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_56_6 = e2 & op(e1, e3) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1395) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_56_6 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1043), (1198),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1200), (1396), (function-axioms) are inconsistent
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1405.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_56_12 = e2 & op(e0, e3) = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1397) implies:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_56_12 = e2
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1161), (1398) are inconsistent by sub-proof
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | | #1852.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (1399) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (146), (157), (160), (163), (165), (167), (169),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (170), (202), (208), (214), (215), (216), (218),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (226), (233), (234), (236), (238),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (271), (373), (1037), (1038), (1039), (1043),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (1053), (1056), (1059), (1154), (1161), (1162),
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | (1180), (1181), (1200), (1399), (function-axioms)
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1372.
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.96 | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | (1400) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.99/27.96 | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | (1401) all_54_8 = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (1401) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | (1402) all_52_2 = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | SIMP: (1402) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | (1403) all_52_2 = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1403) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | (1404) ~ (all_52_1 = e2)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (1403) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | (1405) op(e1, e3) = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | (1406) all_54_4 = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1406) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | (1407) all_52_1 = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (1407) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | (1408) all_52_1 = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1408) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | (1409) ~ (all_52_13 = e3)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (1409) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | (1410) ~ (all_52_13 = e3)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (1408) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | (1411) op(e2, e3) = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | (1412) all_54_7 = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1410), (1412) are inconsistent by
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | (1413) ~ (all_54_7 = e3)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | (1414) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1414) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | (1415) all_54_7 = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1069), (1415) are inconsistent by
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1483.
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (all_54_7 = e2)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | (1417) all_54_7 = e1 | all_54_7 = e0
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1417) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_54_7 = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (1418) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_52_13 = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1419) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_52_13 = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1420) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | (1421) ~ (all_52_9 = e1)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1420) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | (1422) ~ (all_52_14 = e1)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1422) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | (1423) ~ (all_52_14 = e1)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1410), (1420) imply:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | (1424) ~ (e3 = e1)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1425) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1425) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_56_6 = e1 & op(e1, e3) = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1426) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) op(e1, e3) = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1053), (1427), (function-axioms) are
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_56_7 = e1 & op(e1, e2) = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1428) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_56_7 = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) op(e1, e2) = e1
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1154), (1411), (1431),
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1415.
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_56_5 = e2 & op(e2, e1) = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1433) implies:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op(e2, e1) = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1435) gives:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1436) gives:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (1059), (1437),
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1893.
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (1053), (1405), (1438),
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1370.
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1439) gives:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (1059), (1072), (1440),
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1369.
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (1154), (1421), (1441),
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1368.
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1445) implies:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) op(e2, e0) = e2
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (1434), (1446),
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1447) implies:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1430), (1448), (function-axioms) are
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1513.
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1423), (1449), (function-axioms)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1514.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1451) gives:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1452) implies:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) op(e3, e3) = e3
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (229), (231), (1043), (1072), (1161),
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423), (1429), (1453), (1454), (function-axioms)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1520.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1455) implies:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1430), (1456), (function-axioms) are
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1513.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (1043), (1072), (1457),
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1433.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_56_10 = e2 & op(e2, e0) = e2
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1458) implies:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) op(e2, e0) = e2
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1069), (1459), (function-axioms) are
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | (1460) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1043), (1423), (1460),
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | | #1528.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_54_7 = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1188), (1461) are inconsistent by
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1477.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | (1462) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1052), (1184), (1404), (1462) are
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | (1463) all_54_8 = e1 | all_54_8 = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1035), (1053), (1463) are inconsistent by
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | | sub-proof #1365.
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | End of split
% 184.99/27.99 | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | (1464) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 184.99/27.99 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 184.99/27.99 | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | BETA: splitting (1464) gives:
% 184.99/27.99 | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99 | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | (1465) all_56_13 = e0 & op(e0, e2) = e0
% 184.99/27.99 | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | ALPHA: (1465) implies:
% 184.99/27.99 | | | | | | | | | | | | | | | | (1466) all_56_13 = e0
% 184.99/27.99 | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 184.99/27.99 | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99 | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | (1467) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 184.99/27.99 | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | BETA: splitting (1467) gives:
% 184.99/27.99 | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | (1468) all_56_0 = e0 & op(e3, e3) = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | ALPHA: (1468) implies:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | (1469) op(e3, e3) = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1469), (function-axioms) are
% 184.99/27.99 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | (1470) all_56_2 = e0 & op(e2, e3) = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | ALPHA: (1470) implies:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | (1471) all_56_2 = e0
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.99/27.99 | | | | | | | | | | | | | | | | | |
% 184.99/27.99 | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99 | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | (1472) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 184.99/28.00 | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1059), (1471), (1472),
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | #1364.
% 184.99/28.00 | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/28.00 | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | (1473) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 184.99/28.00 | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 184.99/28.00 | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | (1474) all_56_6 = e2 & op(e1, e3) = e2
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (1474) implies:
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | (1475) all_56_6 = e2
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | | (1476) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | |
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1059), (1471), (1476),
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 184.99/28.00 | | | | | | | | | | | | | | | | | | | | | #1463.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | (1477) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1477) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | (1478) all_56_6 = e3 & op(e1, e3) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1478) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | (1479) all_56_6 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1475), (1479) are inconsistent by sub-proof
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | #1504.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | (1480) all_56_12 = e3 & op(e0, e3) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1480) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | (1481) all_56_12 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | (1482) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (1059),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | (1154), (1481), (1482), (function-axioms) are
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1363.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | (1483) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_56_5 = e1 & op(e2, e1) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_56_5 = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (373), (1152), (1154), (1471), (1485),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | #1703.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_56_10 = e1 & op(e2, e0) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1486) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_56_10 = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1488) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1488) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_56_4 = e1 & op(e3, e1) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1489) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) op(e3, e1) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1056), (1490), (function-axioms) are
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_56_5 = e1 & op(e2, e1) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1491) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_56_5 = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (1152), (1154), (1471), (1492),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | #1703.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1493) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1493) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_56_8 = e1 & op(e1, e1) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1494) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) op(e1, e1) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1043), (1495), (function-axioms) are
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_56_14 = e1 & op(e0, e1) = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1496) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_56_14 = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1498) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_56_4 = e3 & op(e3, e1) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1499) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_56_4 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1501) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_56_2 = e3 & op(e2, e3) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1502) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_56_2 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1471), (1503) imply:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) e3 = e0
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1500), (1504) imply:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_56_4 = e0
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (1043),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497), (1505), (function-axioms) are inconsistent
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1810.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_56_3 = e3 & op(e2, e2) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1506) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) op(e2, e2) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1507), (function-axioms) are
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_56_5 = e3 & op(e2, e1) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1509) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_56_5 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (1152), (1154), (1471),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510), (function-axioms) are inconsistent by
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1701.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_56_10 = e3 & op(e2, e0) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1487), (1511) are inconsistent by sub-proof
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1837.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_56_5 = e3 & op(e2, e1) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1512) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_56_5 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (1152), (1154), (1471),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513), (function-axioms) are inconsistent by
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1701.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1043), (1497), (1514),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1361.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | (1515) all_56_12 = e2 & op(e0, e3) = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (1515) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | (1516) all_56_12 = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | (1517) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1059), (1471), (1517),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | #1463.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | (1518) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | (1519) all_56_6 = e3 & op(e1, e3) = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1519) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | (1520) all_56_6 = e3
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | (1521) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1521) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_56_2 = e2 & op(e2, e3) = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1522) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_56_2 = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1471), (1523) imply:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1524) e2 = e0
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1524) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1525) e2 = e0
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1516), (1525) imply:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_56_12 = e0
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (170), (209), (215), (216), (218), (223), (226),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (235), (373), (1043), (1055),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1056), (1059), (1069), (1072), (1154), (1466),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1526), (function-axioms) are inconsistent by
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1356.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_56_3 = e2 & op(e2, e2) = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1527) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1528) op(e2, e2) = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1154), (1528), (function-axioms) are
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | (1529) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1529) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_56_5 = e2 & op(e2, e1) = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1530) implies:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_56_5 = e2
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1532) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1055), (1154), (1532),
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | (1533) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1533) gives:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_56_7 = e1 & op(e1, e2) = e1
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1534) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_56_7 = e1
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1536) gives:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_56_1 = e2 & op(e3, e2) = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1537) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_56_1 = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (215), (216),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (1043), (1466), (1520), (1535),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538), (function-axioms) are inconsistent by
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1358.
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_56_3 = e2 & op(e2, e2) = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1539) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) op(e2, e2) = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1154), (1540), (function-axioms) are
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1541) gives:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_56_7 = e2 & op(e1, e2) = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1542) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_56_7 = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1535), (1543) imply:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) e2 = e1
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1544) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) e2 = e1
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1531), (1545) imply:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_56_5 = e1
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (1152), (1154), (1471), (1546),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1703.
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_56_13 = e2 & op(e0, e2) = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1547) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_56_13 = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043), (1466), (1531), (1548), (function-axioms)
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1355.
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_56_13 = e1 & op(e0, e2) = e1
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1549) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) all_56_13 = e1
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1466), (1550) are inconsistent by sub-proof
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | | #1787.
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_56_10 = e2 & op(e2, e0) = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1551) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | (1552) all_56_10 = e2
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (1152), (1154), (1471),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | (1552), (function-axioms) are inconsistent by
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1702.
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | (1553) all_56_12 = e3 & op(e0, e3) = e3
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1553) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | (1554) all_56_12 = e3
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1516), (1554) are inconsistent by sub-proof
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | | #1354.
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | (1555) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.32/28.01 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 185.32/28.01 | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives:
% 185.32/28.01 | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | (1556) all_56_6 = e0 & op(e1, e3) = e0
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1035), (1556), (function-axioms) are
% 185.32/28.01 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1768.
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | (1557) all_56_12 = e0 & op(e0, e3) = e0
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | ALPHA: (1557) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | | | (1558) all_56_12 = e0
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | (170), (209), (215), (216), (218), (223), (226),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | (227), (228), (235), (373), (1043), (1055),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | (1056), (1059), (1069), (1072), (1154), (1466),
% 185.32/28.01 | | | | | | | | | | | | | | | | | | (1558), (function-axioms) are inconsistent by
% 185.32/28.01 | | | | | | | | | | | | | | | | | | sub-proof #1356.
% 185.32/28.01 | | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | (1559) all_56_14 = e0 & op(e0, e1) = e0
% 185.32/28.01 | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | ALPHA: (1559) implies:
% 185.32/28.01 | | | | | | | | | | | | | | | | (1560) op(e0, e1) = e0
% 185.32/28.01 | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1039), (1560), (function-axioms) are
% 185.32/28.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 185.32/28.01 | | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | End of split
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | Case 2:
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | (1561) all_24_2 = e1
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | COMBINE_EQS: (318), (1561) imply:
% 185.32/28.01 | | | | | | | | | | (1562) all_4_2 = e1
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | REDUCE: (354), (1562) imply:
% 185.32/28.01 | | | | | | | | | | (1563) ~ (all_52_6 = e1)
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | REDUCE: (356), (1562) imply:
% 185.32/28.01 | | | | | | | | | | (1564) ~ (all_52_7 = e1)
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | REDUCE: (360), (1562) imply:
% 185.32/28.01 | | | | | | | | | | (1565) ~ (all_52_13 = e1)
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | REDUCE: (373), (1562) imply:
% 185.32/28.01 | | | | | | | | | | (1566) ~ (e3 = e1)
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | REDUCE: (36), (1562) imply:
% 185.32/28.01 | | | | | | | | | | (1567) op(e2, e2) = e1
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | BETA: splitting (70) gives:
% 185.32/28.01 | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | (1568) ~ (all_26_2 = e1)
% 185.32/28.01 | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | REDUCE: (307), (1568) imply:
% 185.32/28.01 | | | | | | | | | | | (1569) ~ (all_6_2 = e1)
% 185.32/28.01 | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | BETA: splitting (204) gives:
% 185.32/28.01 | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | (1570) all_54_0 = e3
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | COMBINE_EQS: (279), (1570) imply:
% 185.32/28.01 | | | | | | | | | | | | (1571) all_6_2 = e3
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | SIMP: (1571) implies:
% 185.32/28.01 | | | | | | | | | | | | (1572) all_6_2 = e3
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | REDUCE: (344), (1572) imply:
% 185.32/28.01 | | | | | | | | | | | | (1573) ~ (all_52_4 = e3)
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | REDUCE: (346), (1572) imply:
% 185.32/28.01 | | | | | | | | | | | | (1574) ~ (all_52_8 = e3)
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | REDUCE: (348), (1572) imply:
% 185.32/28.01 | | | | | | | | | | | | (1575) ~ (all_52_12 = e3)
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | REDUCE: (39), (1572) imply:
% 185.32/28.01 | | | | | | | | | | | | (1576) op(e3, e3) = e3
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | BETA: splitting (238) gives:
% 185.32/28.01 | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | (1577) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.32/28.01 | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01 | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.32/28.01 | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.32/28.01 | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.32/28.01 | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01 | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.32/28.01 | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.32/28.01 | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.32/28.01 | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.32/28.01 | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.32/28.01 | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.32/28.01 | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.32/28.01 | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.32/28.01 | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.01 | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.32/28.01 | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 185.32/28.01 | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 185.32/28.01 | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 185.32/28.01 | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 185.32/28.01 | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 185.32/28.01 | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 185.32/28.01 | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.32/28.01 | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.32/28.01 | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.32/28.01 | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 185.32/28.01 | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 185.32/28.01 | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 185.32/28.01 | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.01 | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 185.32/28.01 | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 185.32/28.01 | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 185.32/28.01 | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 185.32/28.01 | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 185.32/28.01 | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.32/28.01 | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.32/28.01 | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.01 | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.32/28.01 | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 185.32/28.01 | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | (1578) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.32/28.01 | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.32/28.01 | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.32/28.01 | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.32/28.01 | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.32/28.01 | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.32/28.01 | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.32/28.01 | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.32/28.01 | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.32/28.01 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.32/28.01 | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.32/28.01 | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.32/28.01 | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.01 | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.32/28.01 | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 185.32/28.01 | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | BETA: splitting (1578) gives:
% 185.32/28.01 | | | | | | | | | | | | | |
% 185.32/28.01 | | | | | | | | | | | | | | Case 1:
% 185.32/28.01 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | (1579) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.32/28.02 | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.32/28.02 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.32/28.02 | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (380), (1043), (1579),
% 185.32/28.02 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.02 | | | | | | | | | | | | | | | #1353.
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | Case 2:
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | (1580) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.32/28.02 | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.32/28.02 | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.32/28.02 | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.32/28.02 | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.32/28.02 | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (1567), (1580),
% 185.32/28.02 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.02 | | | | | | | | | | | | | | | #1352.
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | End of split
% 185.32/28.02 | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | Case 2:
% 185.32/28.02 | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | (1581) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 185.32/28.02 | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.32/28.02 | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.32/28.02 | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.32/28.02 | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.32/28.02 | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 185.32/28.02 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.32/28.02 | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.32/28.02 | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 185.32/28.02 | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.32/28.02 | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.32/28.02 | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 185.32/28.02 | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 185.32/28.02 | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 185.32/28.02 | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 185.32/28.02 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 185.32/28.02 | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 185.32/28.02 | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 185.32/28.02 | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.02 | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 185.32/28.02 | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 185.32/28.02 | | | | | | | | | | | | | | $i(all_57_10))
% 185.32/28.02 | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | BETA: splitting (1581) gives:
% 185.32/28.02 | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | Case 1:
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | (1582) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 185.32/28.02 | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.32/28.02 | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.32/28.02 | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.32/28.02 | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.32/28.02 | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.32/28.02 | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | REF_CLOSE: (170), (1573), (1582), (function-axioms) are
% 185.32/28.02 | | | | | | | | | | | | | | | inconsistent by sub-proof #1971.
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | Case 2:
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | (1583) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 185.32/28.02 | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 185.32/28.02 | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 185.32/28.02 | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 185.32/28.02 | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.32/28.02 | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 185.32/28.02 | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.32/28.02 | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.32/28.02 | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.02 | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (1563), (1574), (1583),
% 185.32/28.02 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.02 | | | | | | | | | | | | | | | #1677.
% 185.32/28.02 | | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | | End of split
% 185.32/28.02 | | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | | End of split
% 185.32/28.02 | | | | | | | | | | | | |
% 185.32/28.02 | | | | | | | | | | | | Case 2:
% 185.32/28.02 | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | (1584) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.32/28.03 | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.32/28.03 | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03 | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.32/28.03 | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.32/28.03 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.32/28.03 | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.32/28.03 | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.32/28.03 | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 185.32/28.03 | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.32/28.03 | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.32/28.03 | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.32/28.03 | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 185.32/28.03 | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.32/28.03 | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.32/28.03 | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 185.32/28.03 | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.32/28.03 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.32/28.03 | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 185.32/28.03 | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 185.32/28.03 | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 185.32/28.03 | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 185.32/28.03 | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 185.32/28.03 | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 185.32/28.03 | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 185.32/28.03 | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 185.32/28.03 | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 185.32/28.03 | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.32/28.03 | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.32/28.03 | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.32/28.03 | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 185.32/28.03 | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.32/28.03 | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.32/28.03 | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.32/28.03 | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.32/28.03 | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 185.32/28.03 | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.32/28.03 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.32/28.03 | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.32/28.03 | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.32/28.03 | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.32/28.03 | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.32/28.03 | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.32/28.03 | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.32/28.03 | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.32/28.03 | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.32/28.03 | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.32/28.03 | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.32/28.03 | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.03 | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.32/28.03 | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 185.32/28.03 | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | Case 1:
% 185.32/28.03 | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | (1585) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.32/28.03 | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03 | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.32/28.03 | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.32/28.03 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.32/28.03 | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.32/28.03 | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.32/28.03 | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 185.32/28.03 | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.32/28.03 | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.32/28.03 | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.32/28.03 | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 185.32/28.03 | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.32/28.03 | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.32/28.03 | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 185.32/28.03 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.32/28.03 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.32/28.03 | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 185.32/28.03 | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | BETA: splitting (1585) gives:
% 185.32/28.03 | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | Case 1:
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | (1586) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.32/28.03 | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.32/28.03 | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.32/28.03 | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (1574), (1576), (1586),
% 185.32/28.03 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.03 | | | | | | | | | | | | | | | #1351.
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | Case 2:
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | (1587) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 185.32/28.03 | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 185.32/28.03 | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 185.32/28.03 | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 185.32/28.03 | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | REF_CLOSE: (168), (1567), (1575), (1587), (function-axioms)
% 185.32/28.03 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1350.
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | End of split
% 185.32/28.03 | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | Case 2:
% 185.32/28.03 | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | (1588) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 185.32/28.03 | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.32/28.03 | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.32/28.03 | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 185.32/28.03 | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.32/28.03 | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.32/28.03 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 185.32/28.03 | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 185.32/28.03 | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 185.32/28.03 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 185.32/28.03 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.32/28.03 | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 185.32/28.03 | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 185.32/28.03 | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 185.32/28.03 | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 185.32/28.03 | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 185.32/28.03 | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.03 | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 185.32/28.03 | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 185.32/28.03 | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 185.32/28.03 | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.32/28.03 | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.32/28.03 | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.32/28.03 | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.32/28.03 | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.32/28.03 | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.32/28.03 | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.32/28.03 | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.32/28.03 | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.32/28.03 | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 185.32/28.03 | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | Case 1:
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | (1589) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 185.32/28.03 | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.32/28.03 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 185.32/28.03 | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.32/28.03 | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.32/28.03 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_14))
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | REF_CLOSE: (7), (1576), (1589), (function-axioms) are
% 185.32/28.03 | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | Case 2:
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | (1590) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 185.32/28.03 | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.32/28.03 | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 185.32/28.03 | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.32/28.03 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.32/28.03 | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.32/28.03 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.32/28.03 | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.32/28.03 | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.32/28.03 | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.32/28.03 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.32/28.03 | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.32/28.03 | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.32/28.03 | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.32/28.03 | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.32/28.03 | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.03 | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | BETA: splitting (1590) gives:
% 185.32/28.03 | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | Case 1:
% 185.32/28.03 | | | | | | | | | | | | | | | |
% 185.32/28.03 | | | | | | | | | | | | | | | | (1591) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 185.32/28.03 | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.32/28.03 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.32/28.03 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.32/28.03 | | | | | | | | | | | | | | | | $i(all_57_13)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | ALPHA: (1591) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1592) all_57_11 = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | (1593) ~ (all_57_13 = e1)
% 185.32/28.04 | | | | | | | | | | | | | | | | (1594) ~ (all_57_12 = e0)
% 185.32/28.04 | | | | | | | | | | | | | | | | (1595) op(e1, e0) = all_57_13
% 185.32/28.04 | | | | | | | | | | | | | | | | (1596) op(e2, e0) = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | (1597) op(e2, e2) = all_57_12
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 185.32/28.04 | | | | | | | | | | | | | | | | all_57_13, e0, e1, simplifying with (160), (1595)
% 185.32/28.04 | | | | | | | | | | | | | | | | gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1598) all_57_13 = all_52_14
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 185.32/28.04 | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (1596) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1599) all_52_13 = e2
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 185.32/28.04 | | | | | | | | | | | | | | | | all_57_12, e2, e2, simplifying with (1567), (1597)
% 185.32/28.04 | | | | | | | | | | | | | | | | gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1600) all_57_12 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | REDUCE: (1593), (1598) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1601) ~ (all_52_14 = e1)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | REDUCE: (117), (1599) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1602) ~ (all_52_9 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | REDUCE: (113), (1599) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1603) ~ (all_52_12 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | REDUCE: (110), (1599) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1604) ~ (all_52_14 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | SIMP: (1604) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1605) ~ (all_52_14 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | REDUCE: (371), (1599) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1606) ~ (all_14_2 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | SIMP: (1606) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | (1607) ~ (all_14_2 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | (1608) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.32/28.04 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 185.32/28.04 | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | (1609) all_56_9 = e1 & op(e3, e0) = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | ALPHA: (1609) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | (1610) all_56_9 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | (1611) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | (1612) all_56_0 = e0 & op(e3, e3) = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | ALPHA: (1612) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | (1613) op(e3, e3) = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1576), (1613), (function-axioms) are
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | (1614) all_56_1 = e0 & op(e3, e2) = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | ALPHA: (1614) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | (1615) all_56_1 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | (1616) all_54_15 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1616) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | (1617) all_14_2 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (1617) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | (1618) $false
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1618) is inconsistent.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | (1619) ~ (all_54_15 = e3)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | (1620) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | (1621) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | (1622) all_56_6 = e1 & op(e1, e3) = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1622) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | (1623) all_56_6 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | (1624) op(e1, e3) = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | (1625) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_56_2 = e3 & op(e2, e3) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1626) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_56_2 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (1035), (1576), (1627), (function-axioms)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1720.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_56_3 = e3 & op(e2, e2) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1628) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | (1629) op(e2, e2) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1567), (1629), (function-axioms) are
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | (1630) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1630) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_56_5 = e3 & op(e2, e1) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1631) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_56_5 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1633) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_56_9 = e3 & op(e3, e0) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1634) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) op(e3, e0) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1575), (1635), (function-axioms) are
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_56_10 = e3 & op(e2, e0) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (126), (157),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (168), (170), (193), (206), (211), (212),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (218), (219), (220), (221),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (228), (229), (231), (233), (246),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (378), (1039), (1040), (1043), (1563),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (1573), (1575), (1576), (1601), (1605),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607), (1610), (1620), (1623), (1636),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_56_11 = e3 & op(e1, e0) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1638) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_56_11 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_56_12 = e3 & op(e0, e3) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1641) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_56_12 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (1035), (1576), (1642), (function-axioms)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1332.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_56_13 = e3 & op(e0, e2) = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1643) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_56_13 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_56_6 = e2 & op(e1, e3) = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1623), (1646) are inconsistent by sub-proof
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1331.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_56_7 = e2 & op(e1, e2) = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1647) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_56_7 = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_54_15 = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1607), (1649) are inconsistent by
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1648.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) ~ (all_54_15 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_54_15 = e1 | all_54_15 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1651) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_54_15 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (1652) are inconsistent by sub-proof
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1660.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_54_15 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1653) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_14_2 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1654) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_14_2 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1655) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) ~ (all_52_3 = e0)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1655) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) ~ (all_52_12 = e0)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_54_3 = e3
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1575), (1658) are inconsistent by
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) ~ (all_54_3 = e3)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_54_3 = e2
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1603), (1661) are inconsistent by
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1689.
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) ~ (all_54_3 = e2)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_54_3 = e1 | all_54_3 = e0
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1663) gives:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_54_3 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1664) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_52_12 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1665) implies:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_52_12 = e1
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1666) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) ~ (all_52_4 = e1)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1666) imply:
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) ~ (all_52_8 = e1)
% 185.32/28.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1603), (1666) imply:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) ~ (e2 = e1)
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1670) gives:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1671) gives:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (1567), (1573), (1672),
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (1576), (1668), (1673),
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1329.
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives:
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (1576), (1656), (1675),
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (165), (1563), (1602), (1676),
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1669.
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1677) gives:
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1680) implies:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) op(e2, e2) = e0
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (1615), (1644), (1667),
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681), (function-axioms) are inconsistent by
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1901.
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1682) implies:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) op(e0, e0) = e2
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (1607), (1651), (1683),
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1645.
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1685) implies:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (1592), (1615), (1644),
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667), (1686), (function-axioms) are inconsistent
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1327.
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1687) implies:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) op(e1, e0) = e0
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1688), (function-axioms) are
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1690) gives:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1691) implies:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1043), (1624), (1692), (function-axioms) are
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1325.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1693) implies:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) op(e2, e2) = e2
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (373), (1648), (1667), (1694),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1695) gives:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) op(e1, e1) = e1
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1043), (1697), (function-axioms) are
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1698) implies:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (1592), (1615), (1644),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667), (1699), (function-axioms) are inconsistent
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1327.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_54_3 = e0
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1657), (1700) are inconsistent by
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1324.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1043), (1639), (1701),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1334.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1702) gives:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_56_14 = e3 & op(e0, e1) = e3
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1703) implies:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_56_14 = e3
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1043),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632), (1704), (function-axioms) are inconsistent
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1746.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_56_15 = e3 & op(e0, e0) = e3
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (380), (1607), (1620), (1705),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_56_15 = e3 & op(e0, e0) = e3
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (380), (1607), (1620), (1706),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_56_10 = e3 & op(e2, e0) = e3
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (126), (157),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (162), (168), (170), (193), (206), (211), (212),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (218), (219), (220), (221),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (228), (229), (231), (233), (246),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (250), (378), (1039), (1040), (1043), (1563),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (1573), (1575), (1576), (1601), (1605),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (1607), (1610), (1620), (1623), (1707),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | (1708) all_56_7 = e1 & op(e1, e2) = e1
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1708) implies:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | (1709) op(e1, e2) = e1
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1563), (1709), (function-axioms) are
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | (1710) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1043), (1601), (1710),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | | #1528.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | (1711) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 185.64/28.08 | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | (1043), (1610), (1711), (function-axioms) are
% 185.64/28.08 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 185.64/28.08 | | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08 | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08 | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | (1712) all_56_10 = e1 & op(e2, e0) = e1
% 185.64/28.08 | | | | | | | | | | | | | | | | | |
% 185.64/28.08 | | | | | | | | | | | | | | | | | | ALPHA: (1712) implies:
% 185.64/28.08 | | | | | | | | | | | | | | | | | | (1713) op(e2, e0) = e1
% 185.64/28.08 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1565), (1713), (function-axioms) are
% 185.64/28.09 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | (1714) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | BETA: splitting (1714) gives:
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | | (1715) all_56_11 = e1 & op(e1, e0) = e1
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | | ALPHA: (1715) implies:
% 185.64/28.09 | | | | | | | | | | | | | | | | | | (1716) op(e1, e0) = e1
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1601), (1716), (function-axioms) are
% 185.64/28.09 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | | (1717) all_56_15 = e1 & op(e0, e0) = e1
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | | ALPHA: (1717) implies:
% 185.64/28.09 | | | | | | | | | | | | | | | | | | (1718) op(e0, e0) = e1
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (1607), (1718),
% 185.64/28.09 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.09 | | | | | | | | | | | | | | | | | | #1641.
% 185.64/28.09 | | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | (1719) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 185.64/28.09 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 185.64/28.09 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 185.64/28.09 | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 185.64/28.09 | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 185.64/28.09 | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 185.64/28.09 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 185.64/28.09 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 185.64/28.09 | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 185.64/28.09 | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 185.64/28.09 | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 185.64/28.09 | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 185.64/28.09 | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 185.64/28.09 | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.09 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 185.64/28.09 | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.09 | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 185.64/28.09 | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 185.64/28.09 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 185.64/28.09 | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 185.64/28.09 | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 185.64/28.09 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 185.64/28.09 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 185.64/28.09 | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 185.64/28.09 | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 185.64/28.09 | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | BETA: splitting (1719) gives:
% 185.64/28.09 | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | (1720) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | ALPHA: (1720) implies:
% 185.64/28.09 | | | | | | | | | | | | | | | | | (1721) ~ (all_57_14 = e0)
% 185.64/28.09 | | | | | | | | | | | | | | | | | (1722) op(e1, e1) = all_57_14
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (1043), (1721), (1722), (function-axioms) are
% 185.64/28.09 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | (1723) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.09 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.09 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 185.64/28.09 | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.09 | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 185.64/28.09 | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 185.64/28.09 | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 185.64/28.09 | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 185.64/28.09 | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 185.64/28.09 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | ALPHA: (1723) implies:
% 185.64/28.09 | | | | | | | | | | | | | | | | | (1724) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.09 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.09 | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 185.64/28.09 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.09 | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.09 | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.09 | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.09 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.09 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.09 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.09 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 185.64/28.09 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.09 | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.09 | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.64/28.09 | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.09 | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (157), (1039), (1043), (1567),
% 185.64/28.09 | | | | | | | | | | | | | | | | | (1576), (1724), (function-axioms) are inconsistent
% 185.64/28.09 | | | | | | | | | | | | | | | | | by sub-proof #1633.
% 185.64/28.09 | | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | (1725) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (1569), (1725) are
% 185.64/28.09 | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | End of split
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | (1726) all_26_2 = e1
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | COMBINE_EQS: (307), (1726) imply:
% 185.64/28.09 | | | | | | | | | | | (1727) all_6_2 = e1
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | SIMP: (1727) implies:
% 185.64/28.09 | | | | | | | | | | | (1728) all_6_2 = e1
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | REDUCE: (340), (1728) imply:
% 185.64/28.09 | | | | | | | | | | | (1729) ~ (all_52_2 = e1)
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | REDUCE: (342), (1728) imply:
% 185.64/28.09 | | | | | | | | | | | (1730) ~ (all_52_3 = e1)
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | REDUCE: (377), (1728) imply:
% 185.64/28.09 | | | | | | | | | | | (1731) ~ (e2 = e1)
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | REDUCE: (39), (1728) imply:
% 185.64/28.09 | | | | | | | | | | | (1732) op(e3, e3) = e1
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | BETA: splitting (214) gives:
% 185.64/28.09 | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | Case 1:
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | (1733) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 185.64/28.09 | | | | | | | | | | | | & op(e1, e2) = e1)
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | REF_CLOSE: (162), (163), (1563), (1729), (1733),
% 185.64/28.09 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.09 | | | | | | | | | | | | #1322.
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | (1734) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 185.64/28.09 | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | BETA: splitting (1734) gives:
% 185.64/28.09 | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | Case 1:
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | (1735) all_56_8 = e1 & op(e1, e1) = e1
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | ALPHA: (1735) implies:
% 185.64/28.09 | | | | | | | | | | | | | (1736) op(e1, e1) = e1
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | REF_CLOSE: (4), (1043), (1736), (function-axioms) are
% 185.64/28.09 | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | (1737) all_56_11 = e1 & op(e1, e0) = e1
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | ALPHA: (1737) implies:
% 185.64/28.09 | | | | | | | | | | | | | (1738) op(e1, e0) = e1
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | BETA: splitting (207) gives:
% 185.64/28.09 | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | Case 1:
% 185.64/28.09 | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | (1739) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.64/28.09 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 185.64/28.09 | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (1564), (1730), (1739),
% 185.64/28.09 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.09 | | | | | | | | | | | | | | #1321.
% 185.64/28.09 | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | Case 2:
% 185.64/28.09 | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | (1740) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.64/28.09 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 185.64/28.09 | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | BETA: splitting (1740) gives:
% 185.64/28.09 | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | Case 1:
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | (1741) all_56_14 = e1 & op(e0, e1) = e1
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | ALPHA: (1741) implies:
% 185.64/28.09 | | | | | | | | | | | | | | | (1742) op(e0, e1) = e1
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 185.64/28.09 | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (1742) gives:
% 185.64/28.09 | | | | | | | | | | | | | | | (1743) all_52_11 = e1
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 185.64/28.09 | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (1738) gives:
% 185.64/28.09 | | | | | | | | | | | | | | | (1744) all_52_14 = e1
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | REDUCE: (372), (1744) imply:
% 185.64/28.09 | | | | | | | | | | | | | | | (1745) ~ (all_14_2 = e1)
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 185.64/28.09 | | | | | | | | | | | | | | |
% 185.64/28.09 | | | | | | | | | | | | | | | Case 1:
% 185.64/28.09 | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | (1746) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.64/28.10 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.10 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.64/28.10 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.10 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.10 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.10 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.10 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.10 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 185.64/28.10 | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 185.64/28.10 | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 185.64/28.10 | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 185.64/28.10 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 185.64/28.10 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.64/28.10 | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.64/28.10 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 185.64/28.10 | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 185.64/28.10 | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 185.64/28.10 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 185.64/28.10 | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 185.64/28.10 | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 185.64/28.10 | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.64/28.10 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.10 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.10 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.64/28.10 | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | BETA: splitting (1746) gives:
% 185.64/28.10 | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10 | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | (1747) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.10 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 185.64/28.10 | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | BETA: splitting (1747) gives:
% 185.64/28.10 | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (1748) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (380), (1043), (1748),
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.10 | | | | | | | | | | | | | | | | | | #1353.
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (1749) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.10 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (1567), (1729), (1749),
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.10 | | | | | | | | | | | | | | | | | | #1678.
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | End of split
% 185.64/28.10 | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10 | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | (1750) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.64/28.10 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.10 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.10 | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 185.64/28.10 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | $i(all_57_10))
% 185.64/28.10 | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | BETA: splitting (1750) gives:
% 185.64/28.10 | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | (1751) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.64/28.10 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | BETA: splitting (1751) gives:
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1752) all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | ALPHA: (1752) implies:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1753) op(e1, e1) = e2
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1753), (function-axioms) are
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1754) all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | ALPHA: (1754) implies:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1755) ~ (all_57_5 = e0)
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1756) op(e0, e0) = e2
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1757) op(e0, e2) = all_57_5
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1758) op(e3, e2) = e3
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e2,
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (51), (1756) gives:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1759) all_14_2 = e2
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | all_57_5, e2, e0, simplifying with (158), (1757)
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | gives:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1760) all_57_5 = all_52_7
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (1758) gives:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1761) all_52_4 = e3
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | REDUCE: (1755), (1760) imply:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1762) ~ (all_52_7 = e0)
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1761) imply:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1763) ~ (all_52_7 = e3)
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | SIMP: (1763) implies:
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1764) ~ (all_52_7 = e3)
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (248), (362), (1564), (1759), (1762),
% 185.64/28.10 | | | | | | | | | | | | | | | | | | | (1764) are inconsistent by sub-proof #1320.
% 185.64/28.10 | | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.10 | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | (1765) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 185.64/28.11 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 185.64/28.11 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.64/28.11 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1563), (1732), (1765), (function-axioms)
% 185.64/28.11 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1318.
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11 | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | End of split
% 185.64/28.11 | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11 | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | (1766) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.11 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.11 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.11 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 185.64/28.11 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.11 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.11 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.11 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.11 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.11 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 185.64/28.11 | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 185.64/28.11 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 185.64/28.11 | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 185.64/28.11 | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 185.64/28.11 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 185.64/28.11 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 185.64/28.11 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.11 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.11 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 185.64/28.11 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.11 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.64/28.11 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.11 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.11 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.11 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.64/28.11 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.11 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.11 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.64/28.11 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.11 | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | BETA: splitting (1766) gives:
% 185.64/28.11 | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11 | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | (1767) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.11 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.11 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 185.64/28.11 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.11 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.11 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.11 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 185.64/28.11 | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 185.64/28.11 | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | (1768) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.11 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.11 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | BETA: splitting (1768) gives:
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1769) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | ALPHA: (1769) implies:
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1770) op(e0, e0) = e1
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1770), (function-axioms) are
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1771) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | ALPHA: (1771) implies:
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1772) ~ (all_57_12 = e1)
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1773) op(e2, e2) = all_57_12
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1567), (1772), (1773), (function-axioms) are
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1890.
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | (1774) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 185.64/28.11 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 185.64/28.11 | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 185.64/28.11 | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | BETA: splitting (1774) gives:
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1775) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | ALPHA: (1775) implies:
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1776) op(e0, e0) = e1
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1776), (function-axioms) are
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | (1777) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1567), (1738), (1777), (function-axioms) are
% 185.64/28.11 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 185.64/28.11 | | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11 | | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11 | | | | | | | | | | | | | | | | |
% 185.64/28.11 | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11 | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | (1778) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.12 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 185.64/28.12 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.12 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 185.64/28.12 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 185.64/28.12 | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 185.64/28.12 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 185.64/28.12 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 185.64/28.12 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 185.64/28.12 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.12 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.64/28.12 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.12 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.12 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.64/28.12 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.12 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.12 | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | BETA: splitting (1778) gives:
% 185.64/28.12 | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.12 | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | (1779) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 185.64/28.12 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.12 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 185.64/28.12 | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1732), (1779), (function-axioms) are
% 185.64/28.12 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 185.64/28.12 | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.12 | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | (1780) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 185.64/28.12 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.64/28.12 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.12 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.64/28.12 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.12 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.12 | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 185.64/28.12 | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.12 | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | (1781) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 185.64/28.12 | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | ALPHA: (1781) implies:
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | (1782) ~ (all_57_13 = e1)
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | (1783) op(e1, e0) = all_57_13
% 185.64/28.12 | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1738), (1782), (1783), (function-axioms) are
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1437.
% 185.64/28.12 | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.12 | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | (1784) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 185.64/28.12 | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 185.64/28.12 | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | (1785) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (1785) implies:
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | (1786) ~ (all_57_14 = e0)
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | (1787) op(e1, e1) = all_57_14
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1043), (1786), (1787), (function-axioms) are
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | (1788) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (1788) implies:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (1789) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (157), (1039), (1043), (1567),
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (1732), (1789), (function-axioms) are inconsistent
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | by sub-proof #1316.
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | (1790) all_56_15 = e1 & op(e0, e0) = e1
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | ALPHA: (1790) implies:
% 185.64/28.13 | | | | | | | | | | | | | | | (1791) op(e0, e0) = e1
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1791), (function-axioms) are
% 185.64/28.13 | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | End of split
% 185.64/28.13 | | | | | | | | |
% 185.64/28.13 | | | | | | | | End of split
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | (1792) all_20_2 = e3
% 185.64/28.13 | | | | | | | | (1793) ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 185.64/28.13 | | | | | | | | op(e1, e3) = all_20_1 & $i(all_20_0) & $i(all_20_1))
% 185.64/28.13 | | | | | | | | | ( ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 185.64/28.13 | | | | | | | | $i(all_20_1))
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | COMBINE_EQS: (325), (1792) imply:
% 185.64/28.13 | | | | | | | | (1794) all_10_2 = e3
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | SIMP: (1794) implies:
% 185.64/28.13 | | | | | | | | (1795) all_10_2 = e3
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | COMBINE_EQS: (331), (1795) imply:
% 185.64/28.13 | | | | | | | | (1796) all_30_2 = e3
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | REDUCE: (350), (1795) imply:
% 185.64/28.13 | | | | | | | | (1797) ~ (all_52_2 = e3)
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | REDUCE: (361), (1795) imply:
% 185.64/28.13 | | | | | | | | (1798) ~ (all_52_6 = e3)
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | REDUCE: (363), (1795) imply:
% 185.64/28.13 | | | | | | | | (1799) ~ (all_52_8 = e3)
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | REDUCE: (364), (1795) imply:
% 185.64/28.13 | | | | | | | | (1800) ~ (all_52_9 = e3)
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | REDUCE: (366), (1795) imply:
% 185.64/28.13 | | | | | | | | (1801) ~ (all_52_11 = e3)
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | REDUCE: (368), (1795) imply:
% 185.64/28.13 | | | | | | | | (1802) ~ (all_52_14 = e3)
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | REDUCE: (45), (1795) imply:
% 185.64/28.13 | | | | | | | | (1803) op(e1, e1) = e3
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | BETA: splitting (67) gives:
% 185.64/28.13 | | | | | | | |
% 185.64/28.13 | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | |
% 185.64/28.13 | | | | | | | | | (1804) ~ (all_24_2 = e1)
% 185.64/28.13 | | | | | | | | |
% 185.64/28.13 | | | | | | | | | REDUCE: (318), (1804) imply:
% 185.64/28.13 | | | | | | | | | (1805) ~ (all_4_2 = e1)
% 185.64/28.13 | | | | | | | | |
% 185.64/28.13 | | | | | | | | | BETA: splitting (70) gives:
% 185.64/28.13 | | | | | | | | |
% 185.64/28.13 | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | (1806) ~ (all_26_2 = e1)
% 185.64/28.13 | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | REDUCE: (307), (1806) imply:
% 185.64/28.13 | | | | | | | | | | (1807) ~ (all_6_2 = e1)
% 185.64/28.13 | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | BETA: splitting (204) gives:
% 185.64/28.13 | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | (1808) all_54_0 = e3
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | COMBINE_EQS: (279), (1808) imply:
% 185.64/28.13 | | | | | | | | | | | (1809) all_6_2 = e3
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | REDUCE: (344), (1809) imply:
% 185.64/28.13 | | | | | | | | | | | (1810) ~ (all_52_4 = e3)
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | REDUCE: (348), (1809) imply:
% 185.64/28.13 | | | | | | | | | | | (1811) ~ (all_52_12 = e3)
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | REDUCE: (39), (1809) imply:
% 185.64/28.13 | | | | | | | | | | | (1812) op(e3, e3) = e3
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | BETA: splitting (228) gives:
% 185.64/28.13 | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | (1813) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.64/28.13 | | | | | | | | | | | | & op(e2, e2) = e3)
% 185.64/28.13 | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (1810), (1813),
% 185.64/28.13 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.13 | | | | | | | | | | | | #1790.
% 185.64/28.13 | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | (1814) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 185.64/28.13 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 185.64/28.13 | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | BETA: splitting (1814) gives:
% 185.64/28.13 | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | (1815) all_56_7 = e3 & op(e1, e2) = e3
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | ALPHA: (1815) implies:
% 185.64/28.13 | | | | | | | | | | | | | (1816) op(e1, e2) = e3
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | REF_CLOSE: (162), (1798), (1816), (function-axioms) are
% 185.64/28.13 | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | (1817) all_56_13 = e3 & op(e0, e2) = e3
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | ALPHA: (1817) implies:
% 185.64/28.13 | | | | | | | | | | | | | (1818) all_56_13 = e3
% 185.64/28.13 | | | | | | | | | | | | | (1819) op(e0, e2) = e3
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | BETA: splitting (212) gives:
% 185.64/28.13 | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | (1820) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.64/28.13 | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 185.64/28.13 | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | BETA: splitting (1820) gives:
% 185.64/28.13 | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | (1821) all_56_9 = e3 & op(e3, e0) = e3
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | ALPHA: (1821) implies:
% 185.64/28.13 | | | | | | | | | | | | | | | (1822) op(e3, e0) = e3
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REF_CLOSE: (168), (1811), (1822), (function-axioms) are
% 185.64/28.13 | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | (1823) all_56_10 = e3 & op(e2, e0) = e3
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | ALPHA: (1823) implies:
% 185.64/28.13 | | | | | | | | | | | | | | | (1824) all_56_10 = e3
% 185.64/28.13 | | | | | | | | | | | | | | | (1825) op(e2, e0) = e3
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 185.64/28.13 | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (1819) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | (1826) all_52_7 = e3
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 185.64/28.13 | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (1825) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | (1827) all_52_13 = e3
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REDUCE: (145), (1827) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | (1828) ~ (all_52_1 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REDUCE: (140), (1826) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | (1829) ~ (all_52_3 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REDUCE: (125), (1826) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | (1830) ~ (all_52_11 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REDUCE: (110), (1827) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | (1831) ~ (all_52_14 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REDUCE: (371), (1827) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | (1832) ~ (all_14_2 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | REDUCE: (360), (1827) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | (1833) ~ (all_4_2 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 185.64/28.13 | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | (1834) ~ (all_28_2 = e2)
% 185.64/28.13 | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | REDUCE: (330), (1834) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | (1835) ~ (all_14_2 = e2)
% 185.64/28.13 | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | (1836) all_54_15 = e3
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1836) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | (1837) all_14_2 = e3
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | REDUCE: (380), (1837) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | (1838) $false
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent.
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | (1839) ~ (all_54_15 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | | | | (1840) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | (1841) all_54_15 = e2
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1841) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | (1842) all_14_2 = e2
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | REDUCE: (1835), (1842) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | (1843) $false
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | CLOSE: (1843) is inconsistent.
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | (1844) ~ (all_54_15 = e2)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | (1845) all_54_15 = e1 | all_54_15 = e0
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | BETA: splitting (1845) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1846) all_54_15 = e1
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1846) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1847) all_14_2 = e1
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1847) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1848) $false
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | CLOSE: (1848) is inconsistent.
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1849) all_54_15 = e0
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1849) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1850) all_14_2 = e0
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1851) ~ (all_52_3 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1852) ~ (all_52_11 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1853) ~ (all_52_12 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1854) ~ (all_52_14 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1855) ~ (e3 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (1835), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1856) ~ (e2 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1857) ~ (e1 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1850) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | (1858) op(e0, e0) = e0
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (1859) ~ (all_30_2 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (1796), (1859) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (1860) $false
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | CLOSE: (1860) is inconsistent.
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | (1861) ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | (1862) ~ (all_32_2 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (1862) imply:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | (1863) ~ (all_4_2 = e0)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | (1864) all_54_5 = e3
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (1864) are inconsistent by sub-proof
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | #1948.
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | (1865) ~ (all_54_5 = e3)
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | (1866) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | (1867) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1867) gives:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | (1868) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1868) gives:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1869) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1869) gives:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1870) implies:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) op(e2, e3) = e2
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (1805), (1863), (1866),
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1871), (function-axioms) are inconsistent by
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1315.
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1872) implies:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) op(e0, e0) = e3
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (380), (1845), (1873),
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #1647.
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1874) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (246), (373), (378), (380), (1845),
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1874), (function-axioms) are inconsistent by
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1314.
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | (1875) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (170), (1805), (1810), (1812),
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | (1858), (1875), (function-axioms) are inconsistent
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1313.
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (1876) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1876) gives:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (1877) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1877) gives:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1878) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1812), (1858), (1878),
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | #1312.
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1879) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (1811), (1858), (1879),
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | #1828.
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (1880) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1880) gives:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1881) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1812), (1881), (function-axioms) are
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1882) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1882) gives:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1883) implies:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) op(e1, e1) = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) op(e2, e0) = e2
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (168), (170),
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (218), (219), (220), (230), (268), (352),
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (360), (373), (1805), (1812), (1853), (1884),
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (1885), (function-axioms) are inconsistent by
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1638.
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1887) implies:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) op(e2, e2) = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (268), (1805), (1863), (1866), (1888),
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1938.
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1889) implies:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1890) gives:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (159), (373), (1812), (1851), (1891),
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1310.
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1892) gives:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1893) implies:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) op(e1, e1) = e2
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (1894), (function-axioms) are
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (1805), (1812), (1895),
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1954.
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | (1896) all_32_2 = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | (1897) ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_32_1 & $i(all_32_0) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e1) & op(e2, e0)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (1896) imply:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | (1898) all_4_2 = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (1898) imply:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | (1899) all_36_2 = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (1898) imply:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | (1900) ~ (all_52_6 = e0)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1898) imply:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | (1901) op(e2, e2) = e0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | (1902) ~ (all_36_2 = e0)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1899), (1902) imply:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | (1903) $false
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1903) is inconsistent.
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | (1904) ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1897) gives:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | (1905) ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_32_1 & $i(all_32_0) &
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1905) implies:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | (1906) op(e2, e0) = all_32_1
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | (1907) op(all_32_1, e2) = all_32_0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | (1908) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | (1812), (1818), (1901), (1908), (function-axioms)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1307.
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | (1909) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1909) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_56_4 = e0 & op(e3, e1) = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1910) implies:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_56_4 = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1912) op(e3, e1) = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_56_6 = e0 & op(e1, e3) = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_56_6 = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) op(e1, e3) = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1916) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_52_2 = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1825), (1906) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_32_1 = e3
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1912) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_52_8 = e0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1917) imply:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) ~ (all_52_3 = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1919) imply:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) ~ (all_52_4 = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1919) imply:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) ~ (all_52_9 = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1922) implies:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) ~ (all_52_9 = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1919) imply:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) ~ (all_52_11 = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1919) imply:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) ~ (all_52_12 = e0)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1907), (1918) imply:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) op(e3, e2) = all_32_0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1904) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_36_1 & $i(all_36_0) &
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1927) implies:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) ~ (all_36_0 = e1)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op(e2, e0) = all_36_1
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) op(all_36_1, e2) = all_36_0
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1793) gives:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_20_1 & $i(all_20_0) &
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1931) implies:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) op(e1, e3) = all_20_1
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (146), (157), (159), (160), (167), (168),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (198), (201), (203), (210),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (227), (231), (234), (236), (238),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (270), (272), (373), (378),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (1799), (1800), (1801), (1810), (1811),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812), (1818), (1824), (1825), (1845), (1851),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852), (1853), (1858), (1861), (1901), (1911),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915), (1916), (1921), (1923), (1926), (1928),
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929), (1930), (1932), (function-axioms) are
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1933) implies:
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) op(e1, e3) = all_20_1
% 185.64/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (146), (157), (159), (160), (167), (168),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (198), (201), (203), (210),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (227), (231), (234), (236), (238),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (270), (272), (373), (378),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (1799), (1800), (1801), (1810), (1811),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812), (1818), (1824), (1825), (1845), (1851),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852), (1853), (1858), (1861), (1901), (1911),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915), (1916), (1921), (1923), (1926), (1928),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929), (1930), (1934), (function-axioms) are
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1825), (1935), (function-axioms) are inconsistent
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1708.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_56_7 = e0 & op(e1, e2) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1936) implies:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_56_7 = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (226), (227),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (373), (1818), (1901), (1937),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1282.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1938) gives:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_56_8 = e0 & op(e1, e1) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1939) implies:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) op(e1, e1) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (136), (157), (158), (160), (162), (164),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (199), (204), (206),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (268), (279), (330), (344),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (346), (348), (352), (354), (360), (370), (371),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (374), (377), (378), (380), (1805), (1807),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852), (1854), (1900), (1940), (function-axioms)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1489.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_56_11 = e0 & op(e1, e0) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1941) implies:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) op(e1, e0) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1854), (1942), (function-axioms) are
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_56_9 = e0 & op(e3, e0) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1943) implies:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1944) op(e3, e0) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1853), (1944), (function-axioms) are
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1799.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | (1945) ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1945) implies:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | (1946) ~ (all_32_1 = e1)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | (1947) op(e2, e0) = all_32_1
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | (1948) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227),
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | (1812), (1818), (1901), (1948), (function-axioms)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1307.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | (1949) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1949) gives:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_56_4 = e0 & op(e3, e1) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1950) implies:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_56_4 = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1952) op(e3, e1) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1953) gives:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_56_0 = e0 & op(e3, e3) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1954) implies:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) op(e3, e3) = e0
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1812), (1955), (function-axioms) are
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_56_2 = e0 & op(e2, e3) = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1956) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_56_2 = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1901), (1957), (1958), (function-axioms) are
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_56_5 = e1 & op(e2, e1) = e1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1960) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_56_5 = e1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (1899), (1901), (1957), (1961),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1703.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_56_10 = e1 & op(e2, e0) = e1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1962) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) op(e2, e0) = e1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1946), (1947), (1963), (function-axioms) are
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1800.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1964) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_56_6 = e0 & op(e1, e3) = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1965) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_56_6 = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) op(e1, e3) = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1967) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_52_2 = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1825), (1947) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_32_1 = e3
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1952) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_52_8 = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1968) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) ~ (all_52_3 = e0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1970) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) ~ (all_52_4 = e0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1970) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) ~ (all_52_9 = e0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1973) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) ~ (all_52_9 = e0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1970) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) ~ (all_52_11 = e0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1970) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) ~ (all_52_12 = e0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1904) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_36_1 & $i(all_36_0) &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1977) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) ~ (all_36_0 = e1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) op(e2, e0) = all_36_1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) op(all_36_1, e2) = all_36_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1793) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_20_1 & $i(all_20_0) &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1981) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) op(e1, e3) = all_20_1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (146), (157), (159), (160), (167), (168),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (198), (201), (203), (210),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (227), (231), (234), (236), (238),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (270), (272), (373), (378),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (1799), (1800), (1801), (1810), (1811),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812), (1818), (1824), (1825), (1845), (1851),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852), (1853), (1858), (1861), (1901), (1951),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966), (1967), (1972), (1974), (1978), (1979),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980), (1982), (function-axioms) are inconsistent
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1280.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) op(e1, e3) = all_20_1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (146), (157), (159), (160), (167), (168),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (198), (201), (203), (210),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (227), (231), (234), (236), (238),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (270), (272), (373), (378),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (1799), (1800), (1801), (1810), (1811),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812), (1818), (1824), (1825), (1845), (1851),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852), (1853), (1858), (1861), (1901), (1951),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966), (1967), (1972), (1974), (1978), (1979),
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980), (1984), (function-axioms) are inconsistent
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1280.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1825), (1985), (function-axioms) are inconsistent
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1708.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_56_12 = e0 & op(e0, e3) = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1986) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) op(e0, e3) = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1851), (1987), (function-axioms) are
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1935.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_56_9 = e0 & op(e3, e0) = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1988) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | (1989) op(e3, e0) = e0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1853), (1989), (function-axioms) are
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1799.
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | End of split
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | (1990) all_28_2 = e2
% 186.05/28.18 | | | | | | | | | | | | | | | | (1991) ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 186.05/28.18 | | | | | | | | | | | | | | | | & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.05/28.18 | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 186.05/28.18 | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1990) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1992) all_14_2 = e2
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | SIMP: (1992) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1993) all_14_2 = e2
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (1993) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1994) all_50_2 = e2
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | REDUCE: (351), (1993) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1995) ~ (all_52_3 = e2)
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | REDUCE: (370), (1993) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1996) ~ (all_52_12 = e2)
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | REDUCE: (372), (1993) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1997) ~ (all_52_14 = e2)
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | REDUCE: (380), (1993) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1998) ~ (e3 = e2)
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | REDUCE: (51), (1993) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | (1999) op(e0, e0) = e2
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | (2000) ~ (all_50_2 = e2)
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | REDUCE: (1994), (2000) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | (2001) $false
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | CLOSE: (2001) is inconsistent.
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | (2002) ( ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | & op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.05/28.18 | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e0, e2)
% 186.05/28.18 | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | BETA: splitting (2002) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | (2003) ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | ALPHA: (2003) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | (2004) op(e0, e2) = all_50_1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | (2005) op(all_50_1, e0) = all_50_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.05/28.18 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1819), (2004) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | (2006) all_50_1 = e3
% 186.05/28.18 | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | REDUCE: (2005), (2006) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | (2007) op(e3, e0) = all_50_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2008) ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | ALPHA: (2008) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2009) ~ (all_28_0 = e1)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2010) op(e0, e2) = all_28_1
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2011) op(all_28_1, e0) = all_28_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1819), (2010) gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2012) all_28_1 = e3
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | all_50_0, e0, e3, simplifying with (168), (2007)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2013) all_52_12 = all_50_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2013) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2014) all_54_3 = all_50_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2013) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2015) ~ (all_52_4 = all_50_0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2013) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2016) ~ (all_52_8 = all_50_0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2013) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2017) ~ (all_52_14 = all_50_0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | SIMP: (2017) implies:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2018) ~ (all_52_14 = all_50_0)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | REDUCE: (1811), (2013) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2019) ~ (all_50_0 = e3)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | REDUCE: (1996), (2013) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2020) ~ (all_50_0 = e2)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2012) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2021) op(e3, e0) = all_28_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_50_0,
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | all_28_0, e0, e3, simplifying with (2007), (2021)
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | gives:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2022) all_50_0 = all_28_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2014), (2022) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2023) all_54_3 = all_28_0
% 186.05/28.18 | | | | | | | | | | | | | | | | | | |
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | REDUCE: (2015), (2022) imply:
% 186.05/28.18 | | | | | | | | | | | | | | | | | | | (2024) ~ (all_52_4 = all_28_0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | REDUCE: (2016), (2022) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | (2025) ~ (all_52_8 = all_28_0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | REDUCE: (2018), (2022) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | (2026) ~ (all_52_14 = all_28_0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | REDUCE: (2019), (2022) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | (2027) ~ (all_28_0 = e3)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | REDUCE: (2020), (2022) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | (2028) ~ (all_28_0 = e2)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | (2029) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2029) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2030) all_56_9 = e1 & op(e3, e0) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2030) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2031) all_56_9 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (201), (206), (1824),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (1999), (2009), (2023), (2026), (2027), (2028),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2031), (function-axioms) are inconsistent by
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | sub-proof #1278.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2032) all_56_10 = e1 & op(e2, e0) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1824), (2032) are inconsistent by sub-proof
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | #1539.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | (2033) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2033) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2034) all_56_11 = e1 & op(e1, e0) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2034) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2035) all_56_11 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | (2036) all_56_15 = e0 & op(e0, e0) = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2036) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | (2037) op(e0, e0) = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1999), (2037), (function-axioms) are
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | (2038) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2038) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | (2039) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | (2040) all_56_9 = e0 & op(e3, e0) = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2040) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | (2041) all_56_9 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_54_3 = e3
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2042) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_28_0 = e3
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2043) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | (2044) $false
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2044) is inconsistent.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | (2045) ~ (all_54_3 = e3)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_54_3 = e2
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2047) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_28_0 = e2
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2048) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2049) $false
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2049) is inconsistent.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2050) ~ (all_54_3 = e2)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_54_3 = e1 | all_54_3 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2051) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_54_3 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2052) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_28_0 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2009), (2053) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) $false
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2054) is inconsistent.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_54_3 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2055) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_28_0 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2024), (2056) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) ~ (all_52_4 = e0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2056) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) ~ (all_52_8 = e0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2026), (2056) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) ~ (all_52_14 = e0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2056) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) ~ (e3 = e0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2056) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) ~ (e2 = e0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_54_11 = e3
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1802), (2062) are inconsistent by
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1277.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) ~ (all_54_11 = e3)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2064) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_54_11 = e2
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1997), (2065) are inconsistent by
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) ~ (all_54_11 = e2)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_54_11 = e1 | all_54_11 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2067) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_54_11 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2068) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_52_14 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2069) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_52_14 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2070) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) ~ (all_52_2 = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2070) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) ~ (all_52_6 = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1802), (2070) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) ~ (e3 = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2070) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) ~ (e2 = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (2070) imply:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) op(e1, e0) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2076) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_56_1 = e1 & op(e3, e2) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2077) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_56_1 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) op(e3, e2) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (36), (76), (85), (118),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (134), (136), (139), (141), (146),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (159), (160), (162), (163), (167),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (196), (198), (199),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (215), (216), (217), (225), (234), (238),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (259), (261), (268), (269), (309),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (352), (358), (373), (1793), (1796),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797), (1798), (1799), (1800), (1801), (1802),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803), (1810), (1811), (1812), (1819), (1825),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828), (1829), (1995), (1999), (2010), (2035),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041), (2057), (2058), (2059), (2071), (2075),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078), (2079), (function-axioms) are inconsistent
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1253.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_56_3 = e1 & op(e2, e2) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2080) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) op(e2, e2) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (1805), (2081), (function-axioms) are
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2082) gives:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_56_7 = e1 & op(e1, e2) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2083) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) op(e1, e2) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2072), (2084), (function-axioms) are
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_56_13 = e1 & op(e0, e2) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_56_13 = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1818), (2086) are inconsistent by sub-proof
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1864.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_54_11 = e0
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2059), (2087) are inconsistent by
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | (2088) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (201), (1824), (2009), (2023), (2026),
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | (2027), (2028), (2088), (function-axioms) are
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2089) all_56_15 = e1 & op(e0, e0) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2089) implies:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | (2090) op(e0, e0) = e1
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1999), (2090), (function-axioms) are
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.19 | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2091) ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1819), (2091), (function-axioms) are inconsistent
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | by sub-proof #1251.
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.20 | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.20 | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | (2092) ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 &
% 186.05/28.20 | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 186.05/28.20 | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | ALPHA: (2092) implies:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | (2093) ~ (all_50_1 = e1)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | (2094) op(e0, e2) = all_50_1
% 186.05/28.20 | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.05/28.20 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1819), (2094) gives:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | (2095) all_50_1 = e3
% 186.05/28.20 | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 186.05/28.20 | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2096) ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | ALPHA: (2096) implies:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2097) ~ (all_28_0 = e1)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2098) op(e0, e2) = all_28_1
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2099) op(all_28_1, e0) = all_28_0
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1819), (2098) gives:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2100) all_28_1 = e3
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | REDUCE: (2099), (2100) imply:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2101) op(e3, e0) = all_28_0
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | all_28_0, e0, e3, simplifying with (168), (2101)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | gives:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2102) all_52_12 = all_28_0
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2102) imply:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2103) all_54_3 = all_28_0
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2102) imply:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2104) ~ (all_52_4 = all_28_0)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2102) imply:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2105) ~ (all_52_8 = all_28_0)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2102) imply:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2106) ~ (all_52_14 = all_28_0)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | SIMP: (2106) implies:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2107) ~ (all_52_14 = all_28_0)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | REDUCE: (1811), (2102) imply:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2108) ~ (all_28_0 = e3)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | REDUCE: (1996), (2102) imply:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | (2109) ~ (all_28_0 = e2)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | (2110) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2110) gives:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | (2111) all_56_9 = e1 & op(e3, e0) = e1
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | (2112) all_56_9 = e1
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (201), (206), (1824),
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | (1999), (2097), (2103), (2107), (2108), (2109),
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | (2112), (function-axioms) are inconsistent by
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | sub-proof #1278.
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | (2113) all_56_10 = e1 & op(e2, e0) = e1
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1824), (2113) are inconsistent by sub-proof
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | | #1539.
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | |
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.20 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | (2114) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | (2115) all_56_11 = e1 & op(e1, e0) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2115) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | (2116) all_56_11 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | (2117) all_56_15 = e0 & op(e0, e0) = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2117) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | (2118) op(e0, e0) = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1999), (2118), (function-axioms) are
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | (2119) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2119) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | (2120) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | (2121) all_56_9 = e0 & op(e3, e0) = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2121) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | (2122) all_56_9 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_54_3 = e3
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2123) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_28_0 = e3
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2108), (2124) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | (2125) $false
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | (2126) ~ (all_54_3 = e3)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2127) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_54_3 = e2
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2128) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_28_0 = e2
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2109), (2129) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2130) $false
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2130) is inconsistent.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2131) ~ (all_54_3 = e2)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_54_3 = e1 | all_54_3 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_54_3 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2133) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_28_0 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2097), (2134) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) $false
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2135) is inconsistent.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_54_3 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2136) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_28_0 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2104), (2137) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) ~ (all_52_4 = e0)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2105), (2137) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) ~ (all_52_8 = e0)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2107), (2137) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) ~ (all_52_14 = e0)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2108), (2137) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) ~ (e3 = e0)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2109), (2137) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) ~ (e2 = e0)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_54_11 = e3
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1802), (2143) are inconsistent by
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1277.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) ~ (all_54_11 = e3)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_54_11 = e2
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1997), (2146) are inconsistent by
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) ~ (all_54_11 = e2)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_54_11 = e1 | all_54_11 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_54_11 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2149) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_52_14 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2150) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_52_14 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2151) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) ~ (all_52_2 = e1)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2151) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) ~ (all_52_6 = e1)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2151) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (e2 = e1)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (2151) imply:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) op(e1, e0) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2156) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_56_1 = e1 & op(e3, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2157) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_56_1 = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) op(e3, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (36), (76), (85), (118),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (134), (136), (139), (141), (146),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (159), (160), (162), (163), (167),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (196), (198), (199),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (215), (216), (217), (225), (234), (238),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (247), (259), (261), (268), (269), (309),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (352), (358), (373), (1793), (1796),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797), (1798), (1799), (1800), (1801), (1802),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803), (1810), (1811), (1812), (1819), (1825),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828), (1829), (1995), (1999), (2098), (2116),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122), (2138), (2139), (2140), (2152), (2155),
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158), (2159), (function-axioms) are inconsistent
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1253.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_56_3 = e1 & op(e2, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2160) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) op(e2, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (1805), (2161), (function-axioms) are
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_56_7 = e1 & op(e1, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2163) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) op(e1, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2153), (2164), (function-axioms) are
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_56_13 = e1 & op(e0, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2165) implies:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) op(e0, e2) = e1
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2093), (2094), (2166), (function-axioms) are
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1250.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_54_11 = e0
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2140), (2167) are inconsistent by
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2168) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (201), (1824), (2097), (2103), (2107),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2108), (2109), (2168), (function-axioms) are
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | (2169) all_56_15 = e1 & op(e0, e0) = e1
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2169) implies:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | (2170) op(e0, e0) = e1
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1999), (2170), (function-axioms) are
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | (2171) ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | ALPHA: (2171) implies:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | (2172) ~ (all_28_1 = e3)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | (2173) op(e0, e2) = all_28_1
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1819), (2173) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | (2174) all_28_1 = e3
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | REDUCE: (2172), (2174) imply:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | (2175) $false
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | CLOSE: (2175) is inconsistent.
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | (2176) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 186.16/28.21 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (380), (1802), (2176),
% 186.16/28.21 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.16/28.21 | | | | | | | | | | | | | | #1249.
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | (2177) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (1807), (2177) are
% 186.16/28.21 | | | | | | | | | | | inconsistent by sub-proof #1952.
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | (2178) all_26_2 = e1
% 186.16/28.21 | | | | | | | | | | (2179) ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 186.16/28.21 | | | | | | | | | | & op(e3, e1) = all_26_1 & $i(all_26_0) &
% 186.16/28.21 | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 186.16/28.21 | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | COMBINE_EQS: (307), (2178) imply:
% 186.16/28.21 | | | | | | | | | | (2180) all_6_2 = e1
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | COMBINE_EQS: (303), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2181) all_42_2 = e1
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (338), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2182) ~ (all_52_1 = e1)
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (340), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2183) ~ (all_52_2 = e1)
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (342), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2184) ~ (all_52_3 = e1)
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (344), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2185) ~ (all_52_4 = e1)
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (346), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2186) ~ (all_52_8 = e1)
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (348), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2187) ~ (all_52_12 = e1)
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (377), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2188) ~ (e2 = e1)
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | REDUCE: (39), (2180) imply:
% 186.16/28.21 | | | | | | | | | | (2189) op(e3, e3) = e1
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | BETA: splitting (73) gives:
% 186.16/28.21 | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | (2190) ~ (all_28_2 = e2)
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | REDUCE: (330), (2190) imply:
% 186.16/28.21 | | | | | | | | | | | (2191) ~ (all_14_2 = e2)
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | BETA: splitting (189) gives:
% 186.16/28.21 | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | (2192) all_54_15 = e3
% 186.16/28.21 | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | REF_CLOSE: (246), (380), (2192) are inconsistent by sub-proof
% 186.16/28.21 | | | | | | | | | | | | #1675.
% 186.16/28.21 | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | (2193) ~ (all_54_15 = e3)
% 186.16/28.21 | | | | | | | | | | | | (2194) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.16/28.21 | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | BETA: splitting (2194) gives:
% 186.16/28.21 | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | (2195) all_54_15 = e2
% 186.16/28.21 | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | REF_CLOSE: (246), (2191), (2195) are inconsistent by
% 186.16/28.21 | | | | | | | | | | | | | sub-proof #1648.
% 186.16/28.21 | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | (2196) ~ (all_54_15 = e2)
% 186.16/28.21 | | | | | | | | | | | | | (2197) all_54_15 = e1 | all_54_15 = e0
% 186.16/28.21 | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | BETA: splitting (2197) gives:
% 186.16/28.21 | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | (2198) all_54_15 = e1
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2198) are inconsistent by sub-proof
% 186.16/28.21 | | | | | | | | | | | | | | #1660.
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | (2199) all_54_15 = e0
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | COMBINE_EQS: (246), (2199) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2200) all_14_2 = e0
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | SIMP: (2200) implies:
% 186.16/28.21 | | | | | | | | | | | | | | (2201) all_14_2 = e0
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (351), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2202) ~ (all_52_3 = e0)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (369), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2203) ~ (all_52_11 = e0)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (371), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2204) ~ (all_52_13 = e0)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (372), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2205) ~ (all_52_14 = e0)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (380), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2206) ~ (e3 = e0)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (2191), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2207) ~ (e2 = e0)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (378), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2208) ~ (e1 = e0)
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | REDUCE: (51), (2201) imply:
% 186.16/28.21 | | | | | | | | | | | | | | (2209) op(e0, e0) = e0
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 186.16/28.21 | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | (2210) ~ (all_30_2 = e3)
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | REDUCE: (1796), (2210) imply:
% 186.16/28.21 | | | | | | | | | | | | | | | (2211) $false
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | CLOSE: (2211) is inconsistent.
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | (2212) ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 186.16/28.21 | | | | | | | | | | | | | | | & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.21 | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 186.16/28.21 | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 186.16/28.21 | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | (2213) ~ (all_32_2 = e0)
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | REDUCE: (314), (2213) imply:
% 186.16/28.21 | | | | | | | | | | | | | | | | (2214) ~ (all_4_2 = e0)
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (113), (117), (120), (157), (159),
% 186.16/28.21 | | | | | | | | | | | | | | | | (160), (163), (164), (165), (167), (168), (169),
% 186.16/28.21 | | | | | | | | | | | | | | | | (197), (199), (214), (238), (239), (260), (268),
% 186.16/28.21 | | | | | | | | | | | | | | | | (349), (358), (360), (373), (1803), (1805),
% 186.16/28.21 | | | | | | | | | | | | | | | | (2183), (2189), (2202), (2203), (2204), (2205),
% 186.16/28.21 | | | | | | | | | | | | | | | | (2209), (2214), (function-axioms) are inconsistent
% 186.16/28.21 | | | | | | | | | | | | | | | | by sub-proof #1245.
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | (2215) all_32_2 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (2215) imply:
% 186.16/28.21 | | | | | | | | | | | | | | | | (2216) all_4_2 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | REDUCE: (36), (2216) imply:
% 186.16/28.21 | | | | | | | | | | | | | | | | (2217) op(e2, e2) = e0
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | (2218) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 186.16/28.21 | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | BETA: splitting (2218) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | (2219) all_56_4 = e0 & op(e3, e1) = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | ALPHA: (2219) implies:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | (2220) all_56_4 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | (2221) op(e3, e1) = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | (2222) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (2222) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | (2223) all_56_6 = e0 & op(e1, e3) = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | ALPHA: (2223) implies:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | (2224) all_56_6 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | (2225) op(e1, e3) = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2225) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | (2226) all_52_2 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2221) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | (2227) all_52_8 = e0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2227) imply:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | (2228) ~ (all_52_11 = e0)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | (2229) ~ (all_42_2 = e1)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2181), (2229) imply:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | (2230) $false
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2230) is inconsistent.
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | (2231) ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | (2232) ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2232) implies:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | (2233) ~ (all_30_0 = e2)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | (2234) op(e1, e3) = all_30_1
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | (2235) op(all_30_1, e1) = all_30_0
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2179) gives:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2236) ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_26_1 & $i(all_26_0) &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2237) op(e3, e1) = all_26_1
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (125), (157),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (165), (190), (207), (219), (222),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (247), (373),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (1800), (1801), (1803), (2184), (2189), (2203),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2209), (2217), (2220), (2221), (2224), (2225),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2231), (2233), (2234), (2235), (2237),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | #1242.
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2238) ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2238) implies:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2239) op(e3, e1) = all_26_1
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (125), (157),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (165), (190), (207), (219), (222),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (247), (373),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (1800), (1801), (1803), (2184), (2189), (2203),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2209), (2217), (2220), (2221), (2224), (2225),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (2231), (2233), (2234), (2235), (2239),
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | | #1242.
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | (2240) ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1793), (2225), (2240), (function-axioms) are
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1241.
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2241) all_56_7 = e0 & op(e1, e2) = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | ALPHA: (2241) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2242) all_56_7 = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (2185), (2217), (2242),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | #1240.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2243) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (2243) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2244) all_56_8 = e0 & op(e1, e1) = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | ALPHA: (2244) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2245) op(e1, e1) = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2245), (function-axioms) are
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2246) all_56_11 = e0 & op(e1, e0) = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | ALPHA: (2246) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2247) op(e1, e0) = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2205), (2247), (function-axioms) are
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | (2248) all_56_5 = e0 & op(e2, e1) = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | ALPHA: (2248) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | (2249) all_56_5 = e0
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | (224), (229), (233), (235), (373), (2189), (2217),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | (2249), (function-axioms) are inconsistent by
% 186.16/28.22 | | | | | | | | | | | | | | | | | | sub-proof #1239.
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | (2250) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 186.16/28.22 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (1803), (2203), (2250),
% 186.16/28.22 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.16/28.22 | | | | | | | | | | | | | | | | | #1238.
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | (2251) all_28_2 = e2
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | COMBINE_EQS: (330), (2251) imply:
% 186.16/28.22 | | | | | | | | | | | (2252) all_14_2 = e2
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | SIMP: (2252) implies:
% 186.16/28.22 | | | | | | | | | | | (2253) all_14_2 = e2
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | REDUCE: (371), (2253) imply:
% 186.16/28.22 | | | | | | | | | | | (2254) ~ (all_52_13 = e2)
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | REDUCE: (380), (2253) imply:
% 186.16/28.22 | | | | | | | | | | | (2255) ~ (e3 = e2)
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | REDUCE: (51), (2253) imply:
% 186.16/28.22 | | | | | | | | | | | (2256) op(e0, e0) = e2
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | BETA: splitting (76) gives:
% 186.16/28.22 | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | (2257) ~ (all_30_2 = e3)
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | REDUCE: (1796), (2257) imply:
% 186.16/28.22 | | | | | | | | | | | | (2258) $false
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | CLOSE: (2258) is inconsistent.
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | (2259) ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 186.16/28.22 | | | | | | | | | | | | & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.22 | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 186.16/28.22 | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | BETA: splitting (79) gives:
% 186.16/28.22 | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | (2260) ~ (all_32_2 = e0)
% 186.16/28.22 | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | REDUCE: (314), (2260) imply:
% 186.16/28.22 | | | | | | | | | | | | | (2261) ~ (all_4_2 = e0)
% 186.16/28.22 | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.16/28.22 | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | (2262) all_54_5 = e3
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | COMBINE_EQS: (268), (2262) imply:
% 186.16/28.22 | | | | | | | | | | | | | | (2263) all_4_2 = e3
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | REDUCE: (373), (2263) imply:
% 186.16/28.22 | | | | | | | | | | | | | | (2264) $false
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | CLOSE: (2264) is inconsistent.
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | (2265) ~ (all_54_5 = e3)
% 186.16/28.22 | | | | | | | | | | | | | | (2266) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 186.16/28.22 | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | (2267) all_54_5 = e2
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2267) imply:
% 186.16/28.22 | | | | | | | | | | | | | | | (2268) all_4_2 = e2
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | REDUCE: (349), (2268) imply:
% 186.16/28.22 | | | | | | | | | | | | | | | (2269) ~ (all_52_1 = e2)
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | REDUCE: (358), (2268) imply:
% 186.16/28.22 | | | | | | | | | | | | | | | (2270) ~ (all_52_9 = e2)
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | REDUCE: (36), (2268) imply:
% 186.16/28.22 | | | | | | | | | | | | | | | (2271) op(e2, e2) = e2
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 186.16/28.22 | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | (2272) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | BETA: splitting (2272) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | (2273) all_56_6 = e2 & op(e1, e3) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | ALPHA: (2273) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | (2274) all_56_6 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | (2275) op(e1, e3) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | (2276) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | BETA: splitting (2276) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2277) all_56_4 = e2 & op(e3, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | ALPHA: (2277) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2278) all_56_4 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2279) op(e3, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2275) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2280) all_52_2 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2279) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2281) all_52_8 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2280) imply:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2282) ~ (all_52_3 = e2)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | SIMP: (2282) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2283) ~ (all_52_3 = e2)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2281) imply:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2284) ~ (all_52_9 = e2)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2285) ~ (all_42_2 = e1)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (2181), (2285) imply:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2286) $false
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | CLOSE: (2286) is inconsistent.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | (2287) ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2259) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2288) ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2288) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2289) op(e1, e3) = all_30_1
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (146), (148), (157), (160), (162),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (198), (200), (216),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (217), (218), (249), (261), (269), (1793), (1798),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (1800), (1802), (1803), (2179), (2182), (2184),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2186), (2269), (2270), (2274), (2275), (2278),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2279), (2283), (2287), (2289), (function-axioms)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1231.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2290) ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2290) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2291) op(e1, e3) = all_30_1
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (146), (148), (157), (160), (162),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (192), (198), (200), (216),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (217), (218), (249), (261), (269), (1793), (1798),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (1800), (1802), (1803), (2179), (2182), (2184),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2186), (2269), (2270), (2274), (2275), (2278),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | (2279), (2283), (2287), (2291), (function-axioms)
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1231.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2292) all_56_5 = e2 & op(e2, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | ALPHA: (2292) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2293) op(e2, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2270), (2293), (function-axioms) are
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | (2294) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 186.16/28.22 | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | BETA: splitting (2294) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2295) all_56_8 = e2 & op(e1, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | ALPHA: (2295) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2296) op(e1, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2296), (function-axioms) are
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2297) all_56_14 = e2 & op(e0, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | ALPHA: (2297) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (2298) all_56_14 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (206), (207), (209), (2184), (2256), (2298),
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.16/28.22 | | | | | | | | | | | | | | | | | | | #1228.
% 186.16/28.22 | | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | (2299) all_56_7 = e2 & op(e1, e2) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | ALPHA: (2299) implies:
% 186.16/28.22 | | | | | | | | | | | | | | | | | (2300) all_56_7 = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 186.16/28.22 | | | | | | | | | | | | | | | | | (226), (228), (373), (2185), (2271), (2300),
% 186.16/28.22 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.16/28.22 | | | | | | | | | | | | | | | | | #1764.
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | End of split
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | (2301) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 186.16/28.22 | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 186.16/28.22 | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | (2302) all_56_8 = e2 & op(e1, e1) = e2
% 186.16/28.22 | | | | | | | | | | | | | | | | |
% 186.16/28.22 | | | | | | | | | | | | | | | | | ALPHA: (2302) implies:
% 186.27/28.22 | | | | | | | | | | | | | | | | | (2303) op(e1, e1) = e2
% 186.27/28.22 | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2303), (function-axioms) are
% 186.27/28.22 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 186.27/28.22 | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.22 | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | (2304) all_56_11 = e2 & op(e1, e0) = e2
% 186.27/28.22 | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | ALPHA: (2304) implies:
% 186.27/28.22 | | | | | | | | | | | | | | | | | (2305) all_56_11 = e2
% 186.27/28.22 | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 186.27/28.22 | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.22 | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | (2306) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.27/28.22 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 186.27/28.22 | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 186.27/28.22 | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | (2307) all_56_6 = e1 & op(e1, e3) = e1
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | ALPHA: (2307) implies:
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | (2308) op(e1, e3) = e1
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2183), (2308), (function-axioms) are
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | (2309) all_56_7 = e1 & op(e1, e2) = e1
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | ALPHA: (2309) implies:
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | (2310) all_56_7 = e1
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 186.27/28.22 | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | | (2311) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (2189), (2269), (2311),
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | | #1469.
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.22 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | (2312) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2312) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | (2313) all_56_6 = e2 & op(e1, e3) = e2
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2313) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | (2314) all_56_6 = e2
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | (2315) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2315) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2316) all_56_6 = e0 & op(e1, e3) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2314), (2316) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | #1601.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2317) all_56_7 = e0 & op(e1, e2) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2310), (2317) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | #1563.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | (2318) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2318) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2319) all_56_8 = e0 & op(e1, e1) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2319) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2320) op(e1, e1) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1798), (1802),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2314), (2320), (function-axioms) are inconsistent
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1405.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2321) all_56_11 = e0 & op(e1, e0) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2321) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2322) all_56_11 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2305), (2322) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | #1227.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | (2323) all_56_12 = e2 & op(e0, e3) = e2
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2323) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | (2324) all_56_12 = e2
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | (2325) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2325) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2326) all_56_0 = e3 & op(e3, e3) = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2326) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2327) op(e3, e3) = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2189), (2327), (function-axioms) are
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2328) all_56_2 = e3 & op(e2, e3) = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2328) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2329) all_56_2 = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | (2330) op(e2, e3) = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | (2331) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_56_12 = e3 & op(e0, e3) = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2332) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_56_12 = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2324), (2333) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | #1354.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2334) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_56_13 = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2336) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_56_12 = e1 & op(e0, e3) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2337) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) op(e0, e3) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2184), (2338), (function-axioms) are
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_56_13 = e1 & op(e0, e2) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2339) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_56_13 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2335), (2340) imply:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) e3 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2341) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) e3 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2329), (2342) imply:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_56_2 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189), (2343), (function-axioms) are inconsistent
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1844.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2344) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (85), (117), (133), (134), (139), (145),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (162), (163), (164), (165), (167),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (199), (204), (206), (207),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (213), (214), (217), (218),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (226), (227),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (268), (279), (309), (314), (318),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (340), (342), (344), (346), (348), (352), (354),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (360), (373), (374), (377), (1797), (1798),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803), (1805), (2185), (2189), (2256), (2324),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345), (function-axioms) are inconsistent by
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1177.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2346) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) op(e0, e0) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2256), (2347), (function-axioms) are
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | (2348) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2348) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_56_14 = e3 & op(e0, e1) = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2349) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_56_14 = e3
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2351) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_56_4 = e1 & op(e3, e1) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2352) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_56_4 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (1803),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350), (2353), (function-axioms) are inconsistent
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1608.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_56_5 = e1 & op(e2, e1) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2354) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_56_5 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) op(e2, e1) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_56_9 = e1 & op(e3, e0) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2358) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) op(e3, e0) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2187), (2359), (function-axioms) are
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_56_10 = e1 & op(e2, e0) = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2360) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_56_10 = e1
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2362) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_56_0 = e0 & op(e3, e3) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2363) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) op(e3, e3) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2189), (2364), (function-axioms) are
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_56_2 = e0 & op(e2, e3) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2365) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_56_2 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2329), (2366) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1711.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2367) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_56_6 = e0 & op(e1, e3) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2368) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_56_6 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2370) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_56_2 = e0 & op(e2, e3) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2371) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_56_2 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797), (2189), (2369), (2372), (function-axioms)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1176.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_56_3 = e0 & op(e2, e2) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2373) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) op(e2, e2) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (164), (223), (2254), (2330),
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356), (2374), (function-axioms) are inconsistent
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1413.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2375) gives:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_56_5 = e0 & op(e2, e1) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2376) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_56_5 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2355), (2377) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1842.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_56_10 = e0 & op(e2, e0) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2378) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_56_10 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2361), (2379) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_56_12 = e0 & op(e0, e3) = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2380) implies:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_56_12 = e0
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2324), (2381) are inconsistent by sub-proof
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1852.
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2256), (2305), (2382), (function-axioms) are
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1418.
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_56_8 = e1 & op(e1, e1) = e1
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2384) implies:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) op(e1, e1) = e1
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1803), (2385), (function-axioms) are
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (85), (117), (133), (134), (139), (145),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (162), (163), (164), (165), (167),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (199), (204), (206), (207),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (213), (214), (217), (218),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (226), (227),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (235),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (268), (279), (309), (314), (318),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (340), (342), (344), (346), (348), (352), (354),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (360), (373), (374), (377), (1797), (1798),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803), (1805), (2185), (2189), (2256), (2324),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386), (function-axioms) are inconsistent by
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1177.
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_56_15 = e3 & op(e0, e0) = e3
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2387) implies:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2388) op(e0, e0) = e3
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2256), (2388), (function-axioms) are
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1692.
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | (2389) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (1797), (2324), (2389),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | | #1178.
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | (2390) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.27/28.24 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 186.27/28.24 | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (1803), (2305), (2390),
% 186.27/28.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.24 | | | | | | | | | | | | | | | | | | #1175.
% 186.27/28.24 | | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | (2391) all_54_5 = e1 | all_54_5 = e0
% 186.27/28.24 | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | REF_CLOSE: (268), (1805), (2261), (2391) are inconsistent by
% 186.27/28.24 | | | | | | | | | | | | | | | sub-proof #1941.
% 186.27/28.24 | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | End of split
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | (2392) all_32_2 = e0
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | COMBINE_EQS: (314), (2392) imply:
% 186.27/28.24 | | | | | | | | | | | | | (2393) all_4_2 = e0
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | SIMP: (2393) implies:
% 186.27/28.24 | | | | | | | | | | | | | (2394) all_4_2 = e0
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | REDUCE: (360), (2394) imply:
% 186.27/28.24 | | | | | | | | | | | | | (2395) ~ (all_52_13 = e0)
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | REDUCE: (373), (2394) imply:
% 186.27/28.24 | | | | | | | | | | | | | (2396) ~ (e3 = e0)
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | REDUCE: (1805), (2394) imply:
% 186.27/28.24 | | | | | | | | | | | | | (2397) ~ (e1 = e0)
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | REDUCE: (36), (2394) imply:
% 186.27/28.24 | | | | | | | | | | | | | (2398) op(e2, e2) = e0
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.24 | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | Case 1:
% 186.27/28.24 | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | (2399) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.24 | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.24 | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.24 | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24 | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.24 | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.24 | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.24 | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24 | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.24 | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.24 | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.24 | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.24 | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.24 | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.24 | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.24 | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.24 | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.24 | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.24 | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.24 | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.24 | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.24 | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.24 | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | BETA: splitting (2399) gives:
% 186.27/28.24 | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | Case 1:
% 186.27/28.24 | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | (2400) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.24 | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.24 | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.24 | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.24 | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.24 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.24 | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.24 | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.24 | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.24 | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.24 | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.24 | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.24 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.24 | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.24 | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 186.27/28.24 | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.24 | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | (2401) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.24 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.24 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.24 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.24 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.24 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.24 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.24 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.24 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.24 | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.24 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.24 | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (2189), (2401),
% 186.27/28.24 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.24 | | | | | | | | | | | | | | | | #1893.
% 186.27/28.24 | | | | | | | | | | | | | | | |
% 186.27/28.24 | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | | (2402) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.25 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.25 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.25 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.25 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2183), (2402),
% 186.27/28.25 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.25 | | | | | | | | | | | | | | | | #1733.
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | End of split
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | Case 2:
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | (2403) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25 | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.25 | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.25 | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.25 | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | BETA: splitting (2403) gives:
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | | (2404) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.25 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.25 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.25 | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (2189), (2256), (2404),
% 186.27/28.25 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.25 | | | | | | | | | | | | | | | | #1369.
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | Case 2:
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | | (2405) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.25 | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.25 | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.25 | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.25 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (1803), (2398), (2405),
% 186.27/28.25 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.25 | | | | | | | | | | | | | | | | #1174.
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | End of split
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | End of split
% 186.27/28.25 | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | Case 2:
% 186.27/28.25 | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | (2406) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25 | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.25 | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.25 | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.25 | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25 | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.25 | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.25 | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.25 | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.25 | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.25 | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.25 | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.25 | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.25 | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.25 | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.25 | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.25 | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.25 | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.25 | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.25 | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25 | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.25 | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.25 | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.25 | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.25 | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.25 | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 186.27/28.25 | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | Case 1:
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | (2407) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25 | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25 | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25 | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.25 | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.25 | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25 | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.25 | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.25 | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.25 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.25 | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.25 | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.25 | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.25 | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.25 | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | BETA: splitting (2407) gives:
% 186.27/28.25 | | | | | | | | | | | | | | |
% 186.27/28.25 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.25 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | (2408) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.26 | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.26 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.26 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.26 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.26 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.26 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.26 | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2254), (2395), (2408), (function-axioms)
% 186.27/28.26 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | (2409) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.26 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.26 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.26 | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.26 | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.26 | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.26 | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.26 | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.26 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (1803), (2256), (2409),
% 186.27/28.26 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.26 | | | | | | | | | | | | | | | | #1171.
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | (2410) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.26 | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.26 | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.26 | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.26 | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.26 | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.26 | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.26 | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.26 | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.26 | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.26 | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.26 | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.26 | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.26 | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.26 | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.26 | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.26 | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.26 | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.26 | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | BETA: splitting (2410) gives:
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | (2411) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.26 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.26 | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.26 | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.26 | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.26 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (2189), (2398), (2411),
% 186.27/28.26 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.26 | | | | | | | | | | | | | | | | #1170.
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | (2412) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.26 | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.26 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.26 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.26 | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.26 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.26 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.26 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.26 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.26 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (1803), (2256), (2412),
% 186.27/28.26 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.26 | | | | | | | | | | | | | | | | #1169.
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | End of split
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | (2413) all_24_2 = e1
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | COMBINE_EQS: (318), (2413) imply:
% 186.27/28.26 | | | | | | | | | (2414) all_4_2 = e1
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (349), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2415) ~ (all_52_1 = e1)
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (352), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2416) ~ (all_52_4 = e1)
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (354), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2417) ~ (all_52_6 = e1)
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (356), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2418) ~ (all_52_7 = e1)
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (358), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2419) ~ (all_52_9 = e1)
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (360), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2420) ~ (all_52_13 = e1)
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (373), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2421) ~ (e3 = e1)
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | REDUCE: (36), (2414) imply:
% 186.27/28.26 | | | | | | | | | (2422) op(e2, e2) = e1
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | BETA: splitting (70) gives:
% 186.27/28.26 | | | | | | | | |
% 186.27/28.26 | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | (2423) ~ (all_26_2 = e1)
% 186.27/28.26 | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | REDUCE: (307), (2423) imply:
% 186.27/28.26 | | | | | | | | | | (2424) ~ (all_6_2 = e1)
% 186.27/28.26 | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | BETA: splitting (204) gives:
% 186.27/28.26 | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | (2425) all_54_0 = e3
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | COMBINE_EQS: (279), (2425) imply:
% 186.27/28.26 | | | | | | | | | | | (2426) all_6_2 = e3
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | SIMP: (2426) implies:
% 186.27/28.26 | | | | | | | | | | | (2427) all_6_2 = e3
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | REDUCE: (344), (2427) imply:
% 186.27/28.26 | | | | | | | | | | | (2428) ~ (all_52_4 = e3)
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | REDUCE: (348), (2427) imply:
% 186.27/28.26 | | | | | | | | | | | (2429) ~ (all_52_12 = e3)
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | REDUCE: (39), (2427) imply:
% 186.27/28.26 | | | | | | | | | | | (2430) op(e3, e3) = e3
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | BETA: splitting (228) gives:
% 186.27/28.26 | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | (2431) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.27/28.26 | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.27/28.26 | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | REF_CLOSE: (8), (170), (2422), (2428), (2431),
% 186.27/28.26 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.26 | | | | | | | | | | | | #1347.
% 186.27/28.26 | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | (2432) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.27/28.26 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 186.27/28.26 | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | BETA: splitting (2432) gives:
% 186.27/28.26 | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | (2433) all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | ALPHA: (2433) implies:
% 186.27/28.26 | | | | | | | | | | | | | (2434) op(e1, e2) = e3
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | REF_CLOSE: (162), (1798), (2434), (function-axioms) are
% 186.27/28.26 | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | (2435) all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | ALPHA: (2435) implies:
% 186.27/28.26 | | | | | | | | | | | | | (2436) all_56_13 = e3
% 186.27/28.26 | | | | | | | | | | | | | (2437) op(e0, e2) = e3
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.26 | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | (2438) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.26 | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.27/28.26 | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (168),
% 186.27/28.26 | | | | | | | | | | | | | | (212), (221), (223), (380), (1802), (2422),
% 186.27/28.26 | | | | | | | | | | | | | | (2429), (2438), (function-axioms) are inconsistent
% 186.27/28.26 | | | | | | | | | | | | | | by sub-proof #1163.
% 186.27/28.26 | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | (2439) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.26 | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 186.27/28.26 | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | BETA: splitting (2439) gives:
% 186.27/28.26 | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | (2440) all_56_5 = e3 & op(e2, e1) = e3
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | ALPHA: (2440) implies:
% 186.27/28.26 | | | | | | | | | | | | | | | (2441) op(e2, e1) = e3
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | REF_CLOSE: (165), (1800), (2441), (function-axioms) are
% 186.27/28.26 | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | Case 2:
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | (2442) all_56_10 = e3 & op(e2, e0) = e3
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | ALPHA: (2442) implies:
% 186.27/28.26 | | | | | | | | | | | | | | | (2443) all_56_10 = e3
% 186.27/28.26 | | | | | | | | | | | | | | | (2444) op(e2, e0) = e3
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 186.27/28.26 | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (2437) gives:
% 186.27/28.26 | | | | | | | | | | | | | | | (2445) all_52_7 = e3
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 186.27/28.26 | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (2444) gives:
% 186.27/28.26 | | | | | | | | | | | | | | | (2446) all_52_13 = e3
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | REDUCE: (145), (2446) imply:
% 186.27/28.26 | | | | | | | | | | | | | | | (2447) ~ (all_52_1 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | REDUCE: (125), (2445) imply:
% 186.27/28.26 | | | | | | | | | | | | | | | (2448) ~ (all_52_11 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | REDUCE: (110), (2446) imply:
% 186.27/28.26 | | | | | | | | | | | | | | | (2449) ~ (all_52_14 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | REDUCE: (371), (2446) imply:
% 186.27/28.26 | | | | | | | | | | | | | | | (2450) ~ (all_14_2 = e3)
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 186.27/28.26 | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | (2451) ~ (all_28_2 = e2)
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | REDUCE: (330), (2451) imply:
% 186.27/28.26 | | | | | | | | | | | | | | | | (2452) ~ (all_14_2 = e2)
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 186.27/28.26 | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.26 | | | | | | | | | | | | | | | | |
% 186.27/28.26 | | | | | | | | | | | | | | | | | (2453) all_54_15 = e3
% 186.27/28.26 | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (2453) are inconsistent by sub-proof
% 186.27/28.27 | | | | | | | | | | | | | | | | | #1675.
% 186.27/28.27 | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | (2454) ~ (all_54_15 = e3)
% 186.27/28.27 | | | | | | | | | | | | | | | | | (2455) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | BETA: splitting (2455) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | (2456) all_54_15 = e2
% 186.27/28.27 | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2452), (2456) are inconsistent by
% 186.27/28.27 | | | | | | | | | | | | | | | | | | sub-proof #1648.
% 186.27/28.27 | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | (2457) ~ (all_54_15 = e2)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | (2458) all_54_15 = e1 | all_54_15 = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | BETA: splitting (2458) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2459) all_54_15 = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2459) are inconsistent by sub-proof
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | #1660.
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2460) all_54_15 = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2460) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2461) all_14_2 = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | SIMP: (2461) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2462) all_14_2 = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2463) ~ (all_52_3 = e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2464) ~ (all_52_11 = e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2465) ~ (all_52_12 = e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2466) ~ (all_52_14 = e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2467) ~ (e3 = e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (2452), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2468) ~ (e2 = e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2469) ~ (e1 = e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2462) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | (2470) op(e0, e0) = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | (2471) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2471) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | (2472) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2472) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | (2473) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2473) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2474) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2474) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2475) ~ (all_57_12 = e3)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2476) ~ (all_57_1 = e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2477) op(e1, e3) = all_57_1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2478) op(e2, e2) = all_57_12
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2479) op(e2, e3) = e2
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_1, e3, e1, simplifying with (163), (2477)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2480) all_57_1 = all_52_2
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | all_57_12, e2, e2, simplifying with (2422), (2478)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2481) all_57_12 = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (2479) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2482) all_52_1 = e2
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (2480) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2483) ~ (all_52_2 = e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2482) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2484) ~ (all_52_2 = e2)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2485) ~ (all_52_2 = e2)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2482) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2486) ~ (all_52_9 = e2)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2486) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2487) ~ (all_52_9 = e2)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2447), (2482) imply:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | (2488) ~ (e3 = e2)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_54_8 = e3
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1797), (2489) are inconsistent by
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | (2491) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2491) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_56_0 = e1 & op(e3, e3) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2492) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) op(e3, e3) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2430), (2493), (function-axioms) are
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_56_2 = e1 & op(e2, e3) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2494) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_56_2 = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2490) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_54_8 = e2
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2485), (2496) are inconsistent by
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_54_8 = e1 | all_54_8 = e0
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_56_12 = e1 & op(e0, e3) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2499) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_56_12 = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (76), (141),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (165), (168), (170),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (214), (218), (219), (220), (221),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (226), (227), (228), (230), (234),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (259), (373), (1796), (1803), (2416),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417), (2418), (2419), (2422), (2428), (2430),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436), (2443), (2463), (2465), (2466), (2470),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476), (2477), (2483), (2487), (2497), (2500),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_56_13 = e1 & op(e0, e2) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2501) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) op(e0, e2) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2418), (2502), (function-axioms) are
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1649.
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2504) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_56_14 = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2476), (2477), (2506),
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1161.
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2507) gives:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_56_8 = e1 & op(e1, e1) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2508) implies:
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) op(e1, e1) = e1
% 186.27/28.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1803), (2509), (function-axioms) are
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2510) implies:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) op(e1, e0) = e1
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (165), (223), (2422), (2443),
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487), (2512), (function-axioms) are inconsistent
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1159.
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2513) gives:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_56_5 = e0 & op(e2, e1) = e0
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2514) implies:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_56_5 = e0
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2516) gives:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2517) gives:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (2422), (2428), (2518),
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2519) gives:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2520) implies:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) op(e3, e3) = e1
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495), (2521), (function-axioms) are inconsistent
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1844.
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2522) implies:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) op(e1, e3) = e1
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2476), (2477), (2523), (function-axioms) are
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (2430), (2463), (2525),
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (165), (2417), (2487), (2526),
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1669.
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2528) gives:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2529) gives:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2530) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2511), (2531), (function-axioms) are
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2532) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) op(e0, e0) = e2
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2470), (2533), (function-axioms) are
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2534) gives:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2535) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) op(e1, e1) = e0
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (2505),
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515), (2536), (function-axioms) are inconsistent
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1552.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) op(e1, e0) = e0
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (2483), (2497), (2538),
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1257.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2540) gives:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2541) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (76), (373), (1796), (2479), (2542),
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1255.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2543) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) op(e2, e2) = e2
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2422), (2544), (function-axioms) are
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2511), (2545),
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1254.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_56_10 = e0 & op(e2, e0) = e0
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2546) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_56_10 = e0
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2443), (2547) are inconsistent by sub-proof
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1432.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2548) implies:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) op(e0, e0) = e1
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2470), (2549), (function-axioms) are
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2550) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2550) gives:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_56_6 = e1 & op(e1, e3) = e1
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2551) implies:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) op(e1, e3) = e1
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2476), (2477), (2552), (function-axioms) are
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_56_12 = e1 & op(e0, e3) = e1
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_56_12 = e1
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2490) gives:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_54_8 = e2
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2485), (2555) are inconsistent by
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_54_8 = e1 | all_54_8 = e0
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (76), (141),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (165), (168), (170),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (214), (218), (219), (220), (221),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (226), (227), (228), (230), (234),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (259), (373), (1796), (1803), (2416),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417), (2418), (2419), (2422), (2428), (2430),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436), (2443), (2463), (2465), (2466), (2470),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476), (2477), (2483), (2487), (2554), (2556),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | (2557) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2557) implies:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | (2558) op(e0, e0) = e3
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2470), (2558), (function-axioms) are
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (2559) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (2422), (2470), (2559),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | #1146.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | (2560) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2560) gives:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (2561) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2428), (2561), (function-axioms) are
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1971.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (2562) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (1799), (2417), (2562),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | #1677.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (2563) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | (2564) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2564) gives:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (2565) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2430), (2470), (2565),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | #1312.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (2566) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (2429), (2470), (2566),
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | | #1828.
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | (2567) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | (2568) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2430), (2568), (function-axioms) are
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | (2569) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2569) gives:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | (2570) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2570) implies:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | (2571) op(e1, e1) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2571), (function-axioms) are
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | (2572) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2572) gives:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2573) implies:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (2574) op(e2, e2) = e0
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2422), (2574), (function-axioms) are
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (2575) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2575) implies:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (2576) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | (2577) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2577) gives:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2578) implies:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) op(e2, e2) = e3
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2422), (2579), (function-axioms) are
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (2430), (2463), (2580),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #1311.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | (2581) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2582) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) op(e1, e1) = e2
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2583), (function-axioms) are
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (2430), (2464), (2584),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #1634.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | (2585) all_28_2 = e2
% 186.27/28.33 | | | | | | | | | | | | | | | | (2586) ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 186.27/28.33 | | | | | | | | | | | | | | | | & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.27/28.33 | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 186.27/28.33 | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (2585) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2587) all_14_2 = e2
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2588) all_14_2 = e2
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (2588) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2589) all_50_2 = e2
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | REDUCE: (369), (2588) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2590) ~ (all_52_11 = e2)
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | REDUCE: (370), (2588) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2591) ~ (all_52_12 = e2)
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | REDUCE: (372), (2588) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2592) ~ (all_52_14 = e2)
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | REDUCE: (380), (2588) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2593) ~ (e3 = e2)
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | REDUCE: (51), (2588) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | (2594) op(e0, e0) = e2
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | (2595) ~ (all_50_2 = e2)
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | REDUCE: (2589), (2595) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | (2596) $false
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | CLOSE: (2596) is inconsistent.
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | (2597) ( ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0
% 186.27/28.33 | | | | | | | | | | | | | | | | | & op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.27/28.33 | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e0, e2)
% 186.27/28.33 | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | BETA: splitting (2586) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | (2598) ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | ALPHA: (2598) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | (2599) ~ (all_28_0 = e1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | (2600) op(e0, e2) = all_28_1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | (2601) op(all_28_1, e0) = all_28_0
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (2437), (2600) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | (2602) all_28_1 = e3
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | REDUCE: (2601), (2602) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | (2603) op(e3, e0) = all_28_0
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | BETA: splitting (2597) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2604) ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | ALPHA: (2604) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2605) op(e0, e2) = all_50_1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (2437), (2605) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2606) all_50_1 = e3
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | all_28_0, e0, e3, simplifying with (168), (2603)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2607) all_52_12 = all_28_0
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2607) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2608) all_54_3 = all_28_0
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2607) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2609) ~ (all_52_4 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2607) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2610) ~ (all_52_8 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2607) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2611) ~ (all_52_14 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | SIMP: (2611) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2612) ~ (all_52_14 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2607) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2613) ~ (all_28_0 = e3)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (2591), (2607) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2614) ~ (all_28_0 = e2)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2615) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (164), (201), (206), (2420),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2443), (2594), (2599), (2608), (2612), (2613),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2614), (2615), (function-axioms) are inconsistent
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | by sub-proof #1145.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2616) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2616) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2617) all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2617) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2618) all_56_11 = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (121),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (126), (134), (136), (139), (141), (143), (149),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (190), (193),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (195), (196), (201), (202), (203), (206), (207),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (215), (216), (219), (221), (225), (226), (227),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (234), (238), (239), (247),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (250), (258), (259), (271), (272), (373), (1797),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (1798), (1799), (1801), (1802), (1803), (2416),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2418), (2422), (2428), (2429), (2430), (2436),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2437), (2443), (2590), (2592), (2594), (2599),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2600), (2608), (2609), (2610), (2612), (2613),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2614), (2618), (function-axioms) are inconsistent
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1136.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2619) all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2619) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2620) op(e0, e0) = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2594), (2620), (function-axioms) are
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2621) ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | ALPHA: (2621) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2622) ~ (all_50_1 = e1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2623) op(e0, e2) = all_50_1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (2437), (2623) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2624) all_50_1 = e3
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | all_28_0, e0, e3, simplifying with (168), (2603)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2625) all_52_12 = all_28_0
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2625) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2626) all_54_3 = all_28_0
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2625) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2627) ~ (all_52_4 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2625) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2628) ~ (all_52_8 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2625) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2629) ~ (all_52_14 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | SIMP: (2629) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2630) ~ (all_52_14 = all_28_0)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2625) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2631) ~ (all_28_0 = e3)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | REDUCE: (2591), (2625) imply:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | (2632) ~ (all_28_0 = e2)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2633) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (164), (201), (206), (2420),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2443), (2594), (2599), (2626), (2630), (2631),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2632), (2633), (function-axioms) are inconsistent
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | by sub-proof #1145.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | (2634) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2635) all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2635) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2636) all_56_11 = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (121),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (126), (134), (136), (139), (141), (143), (149),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (190), (193),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (195), (196), (201), (202), (203), (206), (207),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (215), (216), (219), (221), (225), (226), (227),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (228), (231), (232), (234), (238), (239), (247),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (250), (258), (259), (271), (272), (373), (1797),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (1798), (1799), (1801), (1802), (1803), (2416),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2418), (2422), (2428), (2429), (2430), (2436),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2437), (2443), (2590), (2592), (2594), (2599),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2600), (2626), (2627), (2628), (2630), (2631),
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2632), (2636), (function-axioms) are inconsistent
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1136.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2637) all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2637) implies:
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | (2638) op(e0, e0) = e1
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2594), (2638), (function-axioms) are
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | (2639) ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 186.27/28.33 | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2437), (2639), (function-axioms) are inconsistent
% 186.27/28.33 | | | | | | | | | | | | | | | | | | by sub-proof #1251.
% 186.27/28.33 | | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | | End of split
% 186.27/28.33 | | | | | | | | | | |
% 186.27/28.33 | | | | | | | | | | Case 2:
% 186.27/28.33 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | (2640) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (2424), (2640) are
% 186.27/28.34 | | | | | | | | | | | inconsistent by sub-proof #1952.
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | End of split
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | Case 2:
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | (2641) all_26_2 = e1
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | COMBINE_EQS: (307), (2641) imply:
% 186.27/28.34 | | | | | | | | | | (2642) all_6_2 = e1
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | SIMP: (2642) implies:
% 186.27/28.34 | | | | | | | | | | (2643) all_6_2 = e1
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | COMBINE_EQS: (303), (2643) imply:
% 186.27/28.34 | | | | | | | | | | (2644) all_42_2 = e1
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | REDUCE: (340), (2643) imply:
% 186.27/28.34 | | | | | | | | | | (2645) ~ (all_52_2 = e1)
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | REDUCE: (342), (2643) imply:
% 186.27/28.34 | | | | | | | | | | (2646) ~ (all_52_3 = e1)
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | REDUCE: (348), (2643) imply:
% 186.27/28.34 | | | | | | | | | | (2647) ~ (all_52_12 = e1)
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | REDUCE: (377), (2643) imply:
% 186.27/28.34 | | | | | | | | | | (2648) ~ (e2 = e1)
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | REDUCE: (39), (2643) imply:
% 186.27/28.34 | | | | | | | | | | (2649) op(e3, e3) = e1
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | BETA: splitting (214) gives:
% 186.27/28.34 | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | (2650) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.27/28.34 | | | | | | | | | | | & op(e1, e2) = e1)
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | REF_CLOSE: (162), (163), (2417), (2645), (2650),
% 186.27/28.34 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.34 | | | | | | | | | | | #1322.
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | Case 2:
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | (2651) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.27/28.34 | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | BETA: splitting (2651) gives:
% 186.27/28.34 | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | (2652) all_56_8 = e1 & op(e1, e1) = e1
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | ALPHA: (2652) implies:
% 186.27/28.34 | | | | | | | | | | | | (2653) op(e1, e1) = e1
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | REF_CLOSE: (8), (1803), (2653), (function-axioms) are
% 186.27/28.34 | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | Case 2:
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | (2654) all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | ALPHA: (2654) implies:
% 186.27/28.34 | | | | | | | | | | | | (2655) all_56_11 = e1
% 186.27/28.34 | | | | | | | | | | | | (2656) op(e1, e0) = e1
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.27/28.34 | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | (2657) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.27/28.34 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.27/28.34 | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2418), (2646), (2657),
% 186.27/28.34 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.34 | | | | | | | | | | | | | #1321.
% 186.27/28.34 | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | Case 2:
% 186.27/28.34 | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | (2658) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.27/28.34 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.27/28.34 | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | BETA: splitting (2658) gives:
% 186.27/28.34 | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | (2659) all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.34 | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | ALPHA: (2659) implies:
% 186.27/28.34 | | | | | | | | | | | | | | (2660) all_56_14 = e1
% 186.27/28.34 | | | | | | | | | | | | | | (2661) op(e0, e1) = e1
% 186.27/28.34 | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 186.27/28.34 | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | (2662) ~ (all_28_2 = e2)
% 186.27/28.34 | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | REDUCE: (330), (2662) imply:
% 186.27/28.34 | | | | | | | | | | | | | | | (2663) ~ (all_14_2 = e2)
% 186.27/28.34 | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.34 | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | (2664) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.34 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.34 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.34 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.34 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.34 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.34 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.34 | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34 | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.34 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.34 | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.34 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.34 | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | BETA: splitting (2664) gives:
% 186.27/28.34 | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | (2665) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.34 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.34 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.34 | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | BETA: splitting (2665) gives:
% 186.27/28.34 | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.34 | | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (2666) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.34 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.34 | | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2422), (2649), (2666),
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.34 | | | | | | | | | | | | | | | | | | #1185.
% 186.27/28.34 | | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.34 | | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (2667) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34 | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.34 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.34 | | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2645), (2667),
% 186.27/28.34 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.34 | | | | | | | | | | | | | | | | | | #1733.
% 186.27/28.34 | | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.34 | | | | | | | | | | | | | | | | |
% 186.27/28.34 | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.34 | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | (2668) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.35 | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.35 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.35 | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.35 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.35 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.35 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.35 | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.35 | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | BETA: splitting (2668) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | (2669) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.35 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.35 | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | BETA: splitting (2669) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (2670) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | ALPHA: (2670) implies:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (2671) op(e3, e3) = e0
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2649), (2671), (function-axioms) are
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (2672) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | ALPHA: (2672) implies:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (2673) op(e0, e0) = e3
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (2663), (2673),
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | #1646.
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.35 | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35 | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | (2674) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.35 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.35 | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | BETA: splitting (2674) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (2675) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | ALPHA: (2675) implies:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (2676) op(e2, e1) = e2
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | (2677) (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | (2678) all_54_15 = e3
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (2678) are inconsistent by sub-proof
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | #1675.
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | (2679) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2679) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | (2680) all_54_15 = e2
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2663), (2680) are inconsistent by
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | sub-proof #1648.
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | (2681) ~ (all_54_15 = e2)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | (2682) all_54_15 = e1 | all_54_15 = e0
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2677) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | (2683) all_57_15 = e1 & op(e0, e0) = e1
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2683) implies:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | (2684) op(e0, e0) = e1
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (2682), (2684),
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | #1642.
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | (2685) ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2685) implies:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | (2686) ~ (all_57_8 = e0)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2687) all_54_15 = e1
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2687) are inconsistent by sub-proof
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | #1660.
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2688) all_54_15 = e0
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2688) imply:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2689) all_14_2 = e0
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2689) implies:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2690) all_14_2 = e0
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2690) imply:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2691) ~ (all_52_3 = e0)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2663), (2690) imply:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2692) ~ (e2 = e0)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2690) imply:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2693) ~ (e1 = e0)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2690) imply:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | (2694) op(e0, e0) = e0
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | (2695) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2695) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2696) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2696) gives:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2697) gives:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2698) implies:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) op(e2, e3) = e2
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (2676), (2699),
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1135.
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2700) implies:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) op(e2, e3) = e2
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (2676), (2701),
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1135.
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (2422), (2645), (2702),
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | (2703) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1803), (2694), (2704),
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | #1248.
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2649), (2705), (function-axioms)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1318.
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (2706) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2706) gives:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | (2707) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2707) gives:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) op(e0, e0) = e1
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2694), (2710), (function-axioms) are
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2711) implies:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_57_12 = e1)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) op(e2, e2) = all_57_12
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2422), (2712), (2713), (function-axioms) are
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1890.
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2714) gives:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 186.27/28.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2715) implies:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) op(e0, e0) = e1
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2694), (2716), (function-axioms) are
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2422), (2656), (2717), (function-axioms) are
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | (2718) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2718) gives:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2649), (2719), (function-axioms) are
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2720) gives:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2721) implies:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) ~ (all_57_13 = e1)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) op(e1, e0) = all_57_13
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2656), (2722), (2723), (function-axioms) are
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1437.
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2724) gives:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2725) implies:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) op(e2, e2) = e0
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2422), (2726), (function-axioms) are
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2727) implies:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2729) gives:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2730) implies:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) op(e2, e2) = e3
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2422), (2731), (function-axioms) are
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (2649), (2691), (2732),
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1933.
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2733) gives:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2734) implies:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) op(e1, e1) = e2
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2735), (function-axioms) are
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2736) gives:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2737) implies:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_57_8 = e0
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2686), (2738) imply:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) $false
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2739) is inconsistent.
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2740) implies:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) ~ (all_57_7 = e2)
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) op(e2, e1) = all_57_7
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2676), (2741), (2742), (function-axioms) are
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1718.
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | (2743) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | ALPHA: (2743) implies:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | (2744) op(e1, e2) = e1
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2744), (function-axioms) are
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | End of split
% 186.27/28.38 | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38 | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | (2745) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.38 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.38 | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.38 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.38 | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.38 | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.38 | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.38 | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.38 | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.38 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.38 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.38 | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.38 | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.38 | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.38 | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.38 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.38 | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.38 | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.38 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.38 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.38 | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.38 | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.38 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.38 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.38 | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | BETA: splitting (2745) gives:
% 186.27/28.38 | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38 | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | (2746) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.38 | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.38 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.38 | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.38 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.38 | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | BETA: splitting (2746) gives:
% 186.27/28.38 | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38 | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | (2747) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.38 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.38 | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 186.27/28.38 | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | (2748) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | ALPHA: (2748) implies:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | (2749) (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | $i(all_57_13))
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2656), (2749), (function-axioms) are
% 186.27/28.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.38 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2750) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | ALPHA: (2750) implies:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2751) op(e0, e0) = e2
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (2663), (2751),
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | #1643.
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (2752) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.39 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | BETA: splitting (2752) gives:
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2753) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | ALPHA: (2753) implies:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2754) op(e1, e1) = e0
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2754), (function-axioms) are
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2755) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | ALPHA: (2755) implies:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2756) op(e0, e0) = e1
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (2663), (2756),
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | #1641.
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | (2757) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.39 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.39 | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.39 | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.39 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.39 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | BETA: splitting (2757) gives:
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (2758) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2422), (2649), (2758),
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.39 | | | | | | | | | | | | | | | | | | #1134.
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (2759) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2656), (2759),
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.39 | | | | | | | | | | | | | | | | | | #1254.
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | End of split
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | End of split
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | (2760) all_28_2 = e2
% 186.27/28.39 | | | | | | | | | | | | | | | (2761) ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 186.27/28.39 | | | | | | | | | | | | | | | & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.27/28.39 | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 186.27/28.39 | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | COMBINE_EQS: (330), (2760) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | (2762) all_14_2 = e2
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | SIMP: (2762) implies:
% 186.27/28.39 | | | | | | | | | | | | | | | (2763) all_14_2 = e2
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | REDUCE: (351), (2763) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | (2764) ~ (all_52_3 = e2)
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | REDUCE: (370), (2763) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | (2765) ~ (all_52_12 = e2)
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | REDUCE: (371), (2763) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | (2766) ~ (all_52_13 = e2)
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | REDUCE: (380), (2763) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | (2767) ~ (e3 = e2)
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | REDUCE: (51), (2763) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | (2768) op(e0, e0) = e2
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 186.27/28.39 | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | (2769) ~ (all_42_2 = e1)
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | REDUCE: (2644), (2769) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | | (2770) $false
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | CLOSE: (2770) is inconsistent.
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | (2771) ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 186.27/28.39 | | | | | | | | | | | | | | | | & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 186.27/28.39 | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 186.27/28.39 | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 186.27/28.39 | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | (2772) all_54_6 = e3
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2772) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | | | (2773) all_52_9 = e3
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | REDUCE: (1800), (2773) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | | | (2774) $false
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | CLOSE: (2774) is inconsistent.
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | (2775) ~ (all_54_6 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | (2776) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 186.27/28.39 | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (2777) all_54_7 = e3
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2777) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (2778) all_52_13 = e3
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | SIMP: (2778) implies:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (2779) all_52_13 = e3
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | REDUCE: (113), (2779) imply:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | (2780) ~ (all_52_12 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.27/28.39 | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2781) all_54_3 = e3
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2780), (2781) are inconsistent by
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2782) ~ (all_54_3 = e3)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | (2783) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | (2784) all_56_15 = e0 & op(e0, e0) = e0
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (2784) implies:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | (2785) op(e0, e0) = e0
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2768), (2785), (function-axioms) are
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | (2786) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (2786) implies:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | (2787) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (2788) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (2789) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2789) gives:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (2790) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2422), (2649), (2790),
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | #1185.
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (2791) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2645), (2791),
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | #1733.
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (2792) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2792) gives:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (2793) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (2649), (2768), (2793),
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | | #1369.
% 186.27/28.40 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | (2794) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2794) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2795) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | (2796) op(e2, e1) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2783) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_54_3 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2765), (2797) are inconsistent by
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1689.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_54_3 = e1 | all_54_3 = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (168),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (221), (223), (380), (1802), (2422),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2780), (2799), (function-axioms) are inconsistent
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1163.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2800) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_56_5 = e3 & op(e2, e1) = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2801) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) op(e2, e1) = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1800), (2802), (function-axioms) are
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_56_10 = e3 & op(e2, e0) = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2803) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_56_10 = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2805) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_56_0 = e3 & op(e3, e3) = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2806) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) op(e3, e3) = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2649), (2807), (function-axioms) are
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_56_1 = e3 & op(e3, e2) = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2808) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_56_1 = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) op(e3, e2) = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2649), (2810), (2811),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1211.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2812) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_56_4 = e2 & op(e3, e1) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2813) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_56_4 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (146), (164),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (217), (218), (219), (223), (1803),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422), (2660), (2796), (2814), (function-axioms)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1132.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_56_9 = e2 & op(e3, e0) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2815) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_56_9 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (2649), (2809), (2817),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1131.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_56_4 = e0 & op(e3, e1) = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2819) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_56_4 = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2821) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_56_4 = e2 & op(e3, e1) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2822) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_56_4 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (146), (164),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (217), (218), (219), (223), (1803),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422), (2660), (2796), (2823), (function-axioms)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1132.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) all_56_5 = e2 & op(e2, e1) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2824) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_56_5 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2787) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_56_9 = e0 & op(e3, e0) = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2826) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_56_9 = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2816), (2827) imply:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) e2 = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2825), (2828) imply:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_56_5 = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1803),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820), (2829), (function-axioms) are inconsistent
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1153.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2830) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_56_10 = e0 & op(e2, e0) = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2804), (2831) are inconsistent by sub-proof
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_56_11 = e0 & op(e1, e0) = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2832) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) op(e1, e0) = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (2647), (2798), (2833),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2834) gives:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_56_8 = e2 & op(e1, e1) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2835) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) op(e1, e1) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2836), (function-axioms) are
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_56_14 = e2 & op(e0, e1) = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_56_14 = e2
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (2646), (2768), (2838),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1228.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_56_9 = e0 & op(e3, e0) = e0
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2816), (2839) are inconsistent by sub-proof
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1572.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (1799), (2780), (2840),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1296.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2841) implies:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | (2842) (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (169), (236), (1799), (2649),
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | (2780), (2842), (function-axioms) are inconsistent
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1130.
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (2843) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2843) gives:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (2844) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2844) gives:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | (2845) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2846) implies:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2847) op(e2, e0) = e2
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2766), (2847), (function-axioms) are
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2848) implies:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2849) (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (169), (236), (1799), (2649),
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2780), (2849), (function-axioms) are inconsistent
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1130.
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | (2850) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2850) gives:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2851) implies:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2852) op(e1, e1) = e0
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2852), (function-axioms) are
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (2647), (2765), (2783),
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | (2853), (function-axioms) are inconsistent by
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1129.
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (2854) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2854) gives:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (2855) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2856) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (2857) op(e3, e3) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2649), (2857), (function-axioms) are
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2858) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (2859) (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (169), (236), (1799), (2649),
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (2780), (2859), (function-axioms) are inconsistent
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1130.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (2860) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2656), (2860),
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | #1254.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43 | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43 | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | (2861) ~ (all_54_7 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | (2862) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | REDUCE: (260), (2861) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | (2863) ~ (all_52_13 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | BETA: splitting (2862) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | (2864) all_54_7 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (2766), (2864) are inconsistent by
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | sub-proof #1483.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | (2865) ~ (all_54_7 = e2)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | (2866) all_54_7 = e1 | all_54_7 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | (2867) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2867) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | (2868) all_56_2 = e3 & op(e2, e3) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2868) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | (2869) all_56_2 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | (2870) op(e2, e3) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2866) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2871) all_54_7 = e1
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (2420), (2871) are inconsistent by
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1446.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2872) all_54_7 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2872) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2873) all_52_13 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2873) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2874) all_52_13 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2874) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2875) ~ (all_52_1 = e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2874) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2876) ~ (all_52_9 = e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2874) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2877) ~ (all_52_12 = e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2874) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2878) ~ (e2 = e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2420), (2874) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | (2879) ~ (e1 = e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (2880) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2422), (2870), (2880),
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | #1167.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | (2881) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2881) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_56_5 = e2 & op(e2, e1) = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2882) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_56_5 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_54_3 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2884) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_52_12 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2885) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_52_12 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2886) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | (2887) ~ (all_52_4 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (2422), (2887), (2888),
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | #1347.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2889) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2890) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) op(e1, e2) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1798), (2891), (function-axioms) are
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2892) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_56_13 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) op(e0, e2) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_56_15 = e0 & op(e0, e0) = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2895) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) op(e0, e0) = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2768), (2896), (function-axioms) are
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2897) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2899) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_56_9 = e3 & op(e3, e0) = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2900) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_56_9 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_56_12 = e0 & op(e0, e3) = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2902) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) op(e0, e3) = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2904) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_56_4 = e0 & op(e3, e1) = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2905) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_56_4 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) op(e3, e1) = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_54_6 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2908) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_52_9 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2909) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_52_9 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2910) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) ~ (all_52_1 = e2)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2910) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) op(e2, e1) = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2913) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_56_0 = e2 & op(e3, e3) = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2914) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) op(e3, e3) = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2649), (2915), (function-axioms) are
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_56_1 = e2 & op(e3, e2) = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2916) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_56_1 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) op(e3, e2) = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_54_4 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2919) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_52_1 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2920) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_52_1 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2921) imply:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) ~ (all_52_3 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2922) implies:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) ~ (all_52_3 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_54_12 = e3
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2923), (2924) are inconsistent by
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1466.
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) ~ (all_54_12 = e3)
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2926) gives:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_54_12 = e2
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2764), (2927) are inconsistent by
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1465.
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) ~ (all_54_12 = e2)
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_54_12 = e1 | all_54_12 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (2649), (2911), (2930),
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1469.
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2931) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) all_56_6 = e2 & op(e1, e3) = e2
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2932) implies:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_56_6 = e2
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2934) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_56_6 = e0 & op(e1, e3) = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2935) implies:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_56_6 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2933), (2936) imply:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) e2 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2883), (2937) imply:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_56_5 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1803),
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906), (2938), (function-axioms) are inconsistent
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1153.
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_56_7 = e0 & op(e1, e2) = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2939) implies:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_56_7 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) op(e1, e2) = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2929) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_54_12 = e1
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2646), (2942) are inconsistent by
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1464.
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_54_12 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2943) imply:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_52_3 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2944) implies:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_52_3 = e0
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2945) imply:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) ~ (all_52_2 = e0)
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2923), (2945) imply:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) ~ (e3 = e0)
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2949) gives:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (2422), (2918), (2950),
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1143.
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2645), (2951),
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1733.
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2952) gives:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (2649), (2877), (2953),
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2955) implies:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) op(e1, e2) = e2
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2771) gives:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2941), (2956) gives:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) e2 = e0
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2917), (2957) imply:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) all_56_1 = e0
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (2422), (2893), (2940),
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958), (function-axioms) are inconsistent by
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1149.
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2907), (2959), (function-axioms) are inconsistent
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1243.
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2960) implies:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) op(e1, e2) = e1
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2961), (function-axioms) are
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2962) gives:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2963) gives:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2964) gives:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2965) implies:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) op(e2, e0) = e2
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (2912), (2966),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2967) implies:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) op(e0, e2) = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (73), (2760), (2894), (2968),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1666.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (9), (160), (162), (216), (1798),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802), (2768), (2933), (2969), (function-axioms)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1128.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2970) gives:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) op(e3, e3) = e3
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (2869), (2946), (2973), (function-axioms)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1720.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2974) implies:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) op(e2, e2) = e2
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (158), (225), (226), (2418),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893), (2917), (2975), (function-axioms) are
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1155.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2656), (2976),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1254.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_56_8 = e0 & op(e1, e1) = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2978) implies:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) op(e1, e1) = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1798), (1802),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933), (2979), (function-axioms) are inconsistent
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1405.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_56_11 = e0 & op(e1, e0) = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2655), (2980) are inconsistent by sub-proof
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1202.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_56_12 = e2 & op(e0, e3) = e2
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (2761),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768), (2893), (2894), (2981), (function-axioms)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1125.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2415), (2875), (2911), (2982) are
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2983) gives:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) all_56_4 = e2 & op(e3, e1) = e2
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2984) implies:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_56_4 = e2
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2906), (2985) imply:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) e2 = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2986) implies:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) e2 = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2883), (2987) imply:
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_56_5 = e0
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1803),
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906), (2988), (function-axioms) are inconsistent
% 186.27/28.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1153.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_56_9 = e2 & op(e3, e0) = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2989) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_56_9 = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2901), (2990) imply:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) e3 = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2991) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) e3 = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2893), (2992) imply:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_56_13 = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (209), (2660),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768), (2993), (function-axioms) are inconsistent
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1122.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_54_6 = e1 | all_54_6 = e0
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (2661), (2876), (2994),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1451.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_56_5 = e0 & op(e2, e1) = e0
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2883), (2995) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1121.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (1803), (2903), (2996),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1120.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2997) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_56_13 = e0 & op(e0, e2) = e0
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2998) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) op(e0, e2) = e0
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (73), (2760), (2894), (2999),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1666.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_56_14 = e0 & op(e0, e1) = e0
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2660), (3000) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1207.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_56_10 = e3 & op(e2, e0) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3001) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_56_10 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (2422),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869), (2870), (3002), (function-axioms) are
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1165.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (1802), (2768), (3003),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1119.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (2656), (2765), (2877),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3004), (function-axioms) are inconsistent by
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1290.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_56_10 = e2 & op(e2, e0) = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3005) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | (3006) op(e2, e0) = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2766), (3006), (function-axioms) are
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | (3007) all_56_3 = e3 & op(e2, e2) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3007) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | (3008) op(e2, e2) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2422), (3008), (function-axioms) are
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3009) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (1800), (2863), (3009),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | #1455.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | (3010) all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | ALPHA: (3010) implies:
% 186.27/28.47 | | | | | | | | | | | | | | (3011) op(e0, e0) = e1
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (3011), (function-axioms) are
% 186.27/28.47 | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | End of split
% 186.27/28.47 | | | | | | | |
% 186.27/28.47 | | | | | | | End of split
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | Case 2:
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | (3012) all_18_2 = e3
% 186.27/28.47 | | | | | | | (3013) ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 186.27/28.47 | | | | | | | op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1)) |
% 186.27/28.47 | | | | | | | ( ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 186.27/28.47 | | | | | | | $i(all_18_1))
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | COMBINE_EQS: (301), (3012) imply:
% 186.27/28.47 | | | | | | | (3014) all_14_2 = e3
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | COMBINE_EQS: (299), (3014) imply:
% 186.27/28.47 | | | | | | | (3015) all_48_2 = e3
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | REDUCE: (351), (3014) imply:
% 186.27/28.47 | | | | | | | (3016) ~ (all_52_3 = e3)
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | REDUCE: (362), (3014) imply:
% 186.27/28.47 | | | | | | | (3017) ~ (all_52_7 = e3)
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | REDUCE: (369), (3014) imply:
% 186.27/28.47 | | | | | | | (3018) ~ (all_52_11 = e3)
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | REDUCE: (370), (3014) imply:
% 186.27/28.47 | | | | | | | (3019) ~ (all_52_12 = e3)
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | REDUCE: (371), (3014) imply:
% 186.27/28.47 | | | | | | | (3020) ~ (all_52_13 = e3)
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | REDUCE: (372), (3014) imply:
% 186.27/28.47 | | | | | | | (3021) ~ (all_52_14 = e3)
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | BETA: splitting (212) gives:
% 186.27/28.47 | | | | | | |
% 186.27/28.47 | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | |
% 186.27/28.47 | | | | | | | | (3022) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 186.27/28.47 | | | | | | | | op(e2, e0) = e3)
% 186.27/28.47 | | | | | | | |
% 186.27/28.47 | | | | | | | | REF_CLOSE: (164), (168), (3019), (3020), (3022),
% 186.27/28.47 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.47 | | | | | | | | #1118.
% 186.27/28.47 | | | | | | | |
% 186.27/28.47 | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | |
% 186.27/28.47 | | | | | | | | (3023) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 186.27/28.47 | | | | | | | | op(e0, e0) = e3)
% 186.27/28.47 | | | | | | | |
% 186.27/28.47 | | | | | | | | BETA: splitting (3023) gives:
% 186.27/28.47 | | | | | | | |
% 186.27/28.47 | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | | (3024) all_56_11 = e3 & op(e1, e0) = e3
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | | REF_CLOSE: (160), (3021), (3024), (function-axioms) are
% 186.27/28.47 | | | | | | | | | inconsistent by sub-proof #1407.
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | | (3025) all_56_15 = e3 & op(e0, e0) = e3
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | | ALPHA: (3025) implies:
% 186.27/28.47 | | | | | | | | | (3026) all_56_15 = e3
% 186.27/28.47 | | | | | | | | | (3027) op(e0, e0) = e3
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | | BETA: splitting (61) gives:
% 186.27/28.47 | | | | | | | | |
% 186.27/28.47 | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | (3028) ~ (all_20_2 = e3)
% 186.27/28.47 | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | REDUCE: (325), (3028) imply:
% 186.27/28.47 | | | | | | | | | | (3029) ~ (all_10_2 = e3)
% 186.27/28.47 | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | BETA: splitting (64) gives:
% 186.27/28.47 | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | (3030) ~ (all_22_2 = e0)
% 186.27/28.47 | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | REDUCE: (251), (3030) imply:
% 186.27/28.47 | | | | | | | | | | | (3031) ~ (all_10_2 = e0)
% 186.27/28.47 | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | BETA: splitting (194) gives:
% 186.27/28.47 | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | (3032) all_54_10 = e3
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | COMBINE_EQS: (336), (3032) imply:
% 186.27/28.47 | | | | | | | | | | | | (3033) all_10_2 = e3
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | REDUCE: (3029), (3033) imply:
% 186.27/28.47 | | | | | | | | | | | | (3034) $false
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | CLOSE: (3034) is inconsistent.
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | (3035) ~ (all_54_10 = e3)
% 186.27/28.47 | | | | | | | | | | | | (3036) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | BETA: splitting (3036) gives:
% 186.27/28.47 | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | (3037) all_54_10 = e2
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | COMBINE_EQS: (336), (3037) imply:
% 186.27/28.47 | | | | | | | | | | | | | (3038) all_10_2 = e2
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | REDUCE: (375), (3038) imply:
% 186.27/28.47 | | | | | | | | | | | | | (3039) $false
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | CLOSE: (3039) is inconsistent.
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | (3040) ~ (all_54_10 = e2)
% 186.27/28.47 | | | | | | | | | | | | | (3041) all_54_10 = e1 | all_54_10 = e0
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | BETA: splitting (3041) gives:
% 186.27/28.47 | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | (3042) all_54_10 = e1
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | COMBINE_EQS: (336), (3042) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3043) all_10_2 = e1
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (350), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3044) ~ (all_52_2 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (361), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3045) ~ (all_52_6 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (363), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3046) ~ (all_52_8 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (364), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3047) ~ (all_52_9 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (366), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3048) ~ (all_52_11 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (368), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3049) ~ (all_52_14 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (3029), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3050) ~ (e3 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (375), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3051) ~ (e2 = e1)
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | REDUCE: (45), (3043) imply:
% 186.27/28.47 | | | | | | | | | | | | | | (3052) op(e1, e1) = e1
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 186.27/28.47 | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | (3053) ~ (all_24_2 = e1)
% 186.27/28.47 | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | REDUCE: (318), (3053) imply:
% 186.27/28.47 | | | | | | | | | | | | | | | (3054) ~ (all_4_2 = e1)
% 186.27/28.47 | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.27/28.47 | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | (3055) ~ (all_26_2 = e1)
% 186.27/28.47 | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | REDUCE: (307), (3055) imply:
% 186.27/28.47 | | | | | | | | | | | | | | | | (3056) ~ (all_6_2 = e1)
% 186.27/28.47 | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | (3057) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.47 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.47 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.47 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.47 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 186.27/28.47 | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.27/28.47 | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.27/28.47 | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.47 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.27/28.47 | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.27/28.47 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.27/28.47 | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 186.27/28.47 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.27/28.47 | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.27/28.47 | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.27/28.47 | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.27/28.47 | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.47 | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.47 | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | BETA: splitting (3057) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | (3058) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.27/28.47 | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | BETA: splitting (3058) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | (3059) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.47 | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (3059) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3060) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (3060) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3061) op(e1, e1) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3052), (3061), (function-axioms) are
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3062) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (3062) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3063) all_57_15 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3064) all_57_0 = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3065) ~ (all_57_2 = e0)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3066) op(e0, e3) = all_57_2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3067) op(e2, e2) = all_57_12
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | (3068) op(e2, e3) = e2
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | (3069) all_54_0 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3069) imply:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | (3070) all_6_2 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (338), (3070) imply:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | (3071) ~ (all_52_1 = e3)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3070) imply:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | (3072) op(e3, e3) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | (3073) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3073) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | (3074) all_56_2 = e3 & op(e2, e3) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3074) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | (3075) all_56_2 = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | (233), (3044), (3072), (3075), (function-axioms)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1216.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | (3076) all_56_3 = e3 & op(e2, e2) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3076) implies:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | (3077) op(e2, e2) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3077), (function-axioms) are
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | (3078) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | (3079) all_56_5 = e3 & op(e2, e1) = e3
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3079) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | (3080) all_56_5 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | (3081) op(e2, e1) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | (3082) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3082) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_56_6 = e3 & op(e1, e3) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3083) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3084) all_56_6 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3085) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_56_1 = e3 & op(e3, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3086) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_56_1 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) op(e3, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (232),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (3046), (3072), (3087), (3088),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1871.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) all_56_3 = e3 & op(e2, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3089) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) op(e2, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3090), (function-axioms) are
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3092) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_56_7 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (215),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (3052), (3084), (3093), (function-axioms)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1116.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3094) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_56_13 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (207),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (3026), (3027), (3048), (3095),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1113.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3096) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_56_7 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3098) op(e1, e2) = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2, e3, e0, simplifying with (159), (3066)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_57_2 = all_52_3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (3098) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_52_6 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3081) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_52_9 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12, e2, e2, simplifying with (36), (3067)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_57_12 = all_4_2
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3068) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_52_1 = e2
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3065), (3099) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3104) ~ (all_52_3 = e0)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3103) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3105) ~ (all_52_2 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3105) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3106) ~ (all_52_2 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3103) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_52_3 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3107) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3108) ~ (all_52_3 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3103) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3109) ~ (all_52_13 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3109) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3110) ~ (all_52_13 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (3103) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3111) ~ (all_4_2 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3111) implies:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3112) ~ (all_4_2 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3071), (3103) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3113) ~ (e3 = e2)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3100) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3114) ~ (all_52_2 = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3100) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3115) ~ (all_52_4 = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3100) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3116) ~ (all_52_7 = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3100) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3117) ~ (all_52_14 = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3101) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3118) ~ (all_52_11 = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3101) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3119) ~ (all_52_13 = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3101) imply:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3120) ~ (all_4_2 = e3)
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_54_8 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3114), (3121) are inconsistent by
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3123) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3124) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (3072), (3125),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1112.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (3044), (3072), (3126),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3127) gives:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3065), (3066), (3072), (3128),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1111.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3045), (3054), (3129),
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3130) gives:
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3131) gives:
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.86/28.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (3027), (3110), (3132),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3027), (3048), (3133),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1108.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3134) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3135) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3136) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3064), (3137), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1664.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3102), (3112), (3138) are inconsistent by
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1107.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3140) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3142) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) all_56_0 = e2 & op(e3, e3) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3143) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) op(e3, e3) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3072), (3144), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) all_56_2 = e2 & op(e2, e3) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3145) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_56_2 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) all_54_5 = e3
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (3147) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1948.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3149) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3150) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_56_2 = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3146), (3151) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1855.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_56_3 = e1 & op(e2, e2) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3152) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) op(e2, e2) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3054), (3153), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3154) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_56_5 = e1 & op(e2, e1) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3155) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) op(e2, e1) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3047), (3156), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3157) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_56_10 = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_54_5 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3112), (3159) are inconsistent by
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1106.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_54_5 = e1 | all_54_5 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3141) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_57_15 = e1 & op(e0, e0) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3161) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) op(e0, e0) = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3027), (3162), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3163) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) op(e0, e1) = all_57_8
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3165) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_56_6 = e2 & op(e1, e3) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3166) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_56_6 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_56_2 = e0 & op(e2, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_56_2 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3146), (3170) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1715.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) all_56_3 = e0 & op(e2, e2) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3171) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) op(e2, e2) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_54_12 = e3
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3016), (3173) are inconsistent by
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1466.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) ~ (all_54_12 = e3)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3175) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_54_12 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3108), (3176) are inconsistent by
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1465.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) ~ (all_54_12 = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_54_12 = e1 | all_54_12 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3178) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_54_12 = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3179) imply:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_52_3 = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3180) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_52_3 = e1
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3181) imply:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) ~ (all_52_7 = e1)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3182) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) ~ (all_52_7 = e1)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3184) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) all_56_9 = e2 & op(e3, e0) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3185) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_56_9 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3187) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_56_0 = e0 & op(e3, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3188) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) op(e3, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3072), (3189), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) all_56_2 = e0 & op(e2, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3190) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_56_2 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3146), (3191) imply:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) e2 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3192) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) e2 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (135), (158), (162),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (203), (214), (215), (216), (217), (226),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (248), (268), (272), (352), (356), (3017),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027), (3045), (3054), (3072), (3080), (3097),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115), (3141), (3160), (3164), (3167), (3172),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183), (3186), (3193), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3194) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3195) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_56_6 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3167), (3196) imply:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) e2 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (135), (158), (162),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (203), (214), (215), (216), (217), (226),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (248), (268), (272), (352), (356), (3017),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027), (3045), (3054), (3072), (3080), (3097),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115), (3141), (3160), (3164), (3167), (3172),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183), (3186), (3197), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) all_56_12 = e0 & op(e0, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3198) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) op(e0, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3065), (3066), (3199), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1526.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_56_10 = e2 & op(e2, e0) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3200) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) op(e2, e0) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3110), (3201), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_56_11 = e2 & op(e1, e0) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_56_11 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (135), (140), (158), (162),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (203), (206), (213), (214), (215),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (226), (234), (248), (249), (268),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (352), (356), (3016), (3017), (3026),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027), (3045), (3052), (3054), (3072), (3080),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097), (3104), (3108), (3115), (3141), (3158),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160), (3164), (3172), (3204), (function-axioms)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1096.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_56_15 = e2 & op(e0, e0) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3205) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) op(e0, e0) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3027), (3206), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1692.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_54_12 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3104), (3207) are inconsistent by
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1098.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3208) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_56_5 = e0 & op(e2, e1) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3209) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_56_5 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3080), (3210) imply:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) e3 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3097), (3211) imply:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_56_7 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (216),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (3021), (3048), (3080),
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167), (3212), (function-axioms) are inconsistent
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1090.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) all_56_10 = e0 & op(e2, e0) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3213) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_56_10 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3158), (3214) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) all_56_7 = e2 & op(e1, e2) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3097), (3215) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1925.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3216) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) all_56_8 = e2 & op(e1, e1) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3217) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) op(e1, e1) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3052), (3218), (function-axioms) are
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_56_11 = e2 & op(e1, e0) = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3219) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_56_11 = e2
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3221) gives:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_56_2 = e0 & op(e2, e3) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3222) implies:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_56_2 = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3146), (3223) are inconsistent by sub-proof
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1715.
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) all_56_3 = e0 & op(e2, e2) = e0
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3224) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) op(e2, e2) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (135), (140), (158), (162),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (203), (206), (213), (214), (215),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (226), (234), (248), (249), (268),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (352), (356), (3016), (3017), (3026),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027), (3045), (3052), (3054), (3072), (3080),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097), (3104), (3108), (3115), (3141), (3158),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160), (3164), (3220), (3225), (function-axioms)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1096.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3226) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_56_5 = e0 & op(e2, e1) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3080), (3227) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1499.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_56_10 = e0 & op(e2, e0) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3228) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_56_10 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3158), (3229) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3230) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_56_6 = e2 & op(e1, e3) = e2
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3231) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_56_6 = e2
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3233) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3232), (3234) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1601.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_56_7 = e0 & op(e1, e2) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3235) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_56_7 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (216),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (3021), (3048), (3080),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232), (3236), (function-axioms) are inconsistent
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1090.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3237) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_56_8 = e0 & op(e1, e1) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3238) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) op(e1, e1) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3052), (3239), (function-axioms) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_56_11 = e0 & op(e1, e0) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3240) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) op(e1, e0) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (3044), (3106), (3122),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241), (function-axioms) are inconsistent by
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_56_12 = e2 & op(e0, e3) = e2
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3242) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) all_56_12 = e2
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) all_54_5 = e3
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (3244) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1948.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) ~ (all_54_5 = e3)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3247) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_56_12 = e1 & op(e0, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3248) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) all_56_12 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3243), (3249) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1622.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_56_13 = e1 & op(e0, e2) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3250) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_56_13 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) op(e0, e2) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) all_54_12 = e3
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3016), (3253) are inconsistent by
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1466.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3255) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (135), (140), (168),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (203), (206), (212), (215), (221), (223),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (248), (249), (268), (272), (352), (356),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3017), (3019), (3026), (3027), (3052),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054), (3065), (3066), (3072), (3080), (3097),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104), (3108), (3112), (3115), (3141), (3246),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251), (3254), (3256), (function-axioms) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_56_3 = e1 & op(e2, e2) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3257) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) op(e2, e2) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3054), (3258), (function-axioms) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3259) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_56_5 = e1 & op(e2, e1) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3260) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) op(e2, e1) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3047), (3261), (function-axioms) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3262) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_56_10 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) op(e2, e0) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3265) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_56_0 = e1 & op(e3, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3266) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) op(e3, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (79), (85), (110),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (120), (121), (125), (126),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (133), (134), (135), (136), (139), (140),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (143), (144), (145), (146), (148), (149),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (192), (193),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (199), (200), (201), (202), (203),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (211), (213), (215), (216), (217), (218),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (226), (227),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (249), (250), (258), (259),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (271), (272), (309), (314),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (352), (354), (358), (360), (373), (3018),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019), (3020), (3021), (3026), (3027), (3044),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046), (3052), (3251), (3252), (3263), (3264),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267), (function-axioms) are inconsistent by
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (135), (140), (168),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (203), (206), (212), (215), (221), (223),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (248), (249), (268), (272), (352), (356),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3017), (3019), (3026), (3027), (3052),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054), (3065), (3066), (3072), (3080), (3097),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104), (3108), (3112), (3115), (3141), (3246),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251), (3254), (3268), (function-axioms) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3269) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_56_6 = e1 & op(e1, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3270) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) op(e1, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3044), (3271), (function-axioms) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_56_12 = e1 & op(e0, e3) = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3272) implies:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_56_12 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3243), (3273) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1622.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3027), (3048), (3274),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1114.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3063), (3275) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | (3276) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (217),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (3021), (3048), (3080), (3276),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | | #1091.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | (3277) all_56_10 = e3 & op(e2, e0) = e3
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3020), (3277), (function-axioms) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | (3278) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3056), (3278) are
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (3279) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (3044), (3279),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | #1973.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | (3280) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.50 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.50 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.50 | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | BETA: splitting (3280) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (3281) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3027), (3052), (3281),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | #1081.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (3282) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3045), (3054), (3282),
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | #1968.
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50 | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50 | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | (3283) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.50 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.86/28.50 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.50 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.50 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 186.86/28.50 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.86/28.50 | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.86/28.50 | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.86/28.50 | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.86/28.50 | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 186.86/28.50 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.86/28.50 | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.50 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.50 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.50 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.50 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.50 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.50 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.50 | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | BETA: splitting (3283) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | (3284) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.50 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.86/28.50 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.50 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.50 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | BETA: splitting (3284) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | (3285) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (3285) gives:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | |
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3286) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (3286) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3287) op(e0, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3027), (3287), (function-axioms) are
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3288) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (3288) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3289) op(e3, e3) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (3056), (3289),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | #1052.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3290) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3019), (3027), (3290),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | #1189.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (3291) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.51 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.51 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | BETA: splitting (3291) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3292) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (3056), (3292),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | #1050.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3293) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (3293) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3294) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (3294) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3295) op(e1, e1) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3052), (3295), (function-axioms) are
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3296) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3297) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3297) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3298) op(e1, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3049), (3298), (function-axioms) are
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3299) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3299) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3300) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (39), (204), (279), (373), (374),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (377), (3052), (3054), (3056), (3300),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | #1951.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | (3301) all_26_2 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (3301) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | (3302) all_6_2 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | SIMP: (3302) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | (3303) all_6_2 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | REDUCE: (344), (3303) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | (3304) ~ (all_52_4 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | REDUCE: (348), (3303) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | (3305) ~ (all_52_12 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | REDUCE: (39), (3303) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | (3306) op(e3, e3) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | (3307) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (3054), (3304), (3307),
% 186.86/28.51 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.51 | | | | | | | | | | | | | | | | | #1531.
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | (3308) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (3309) all_56_7 = e1 & op(e1, e2) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | ALPHA: (3309) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (3310) op(e1, e2) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3045), (3310), (function-axioms) are
% 186.86/28.51 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (3311) all_56_13 = e1 & op(e0, e2) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | ALPHA: (3311) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (3312) all_56_13 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (3313) op(e0, e2) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3314) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (3314) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3315) all_56_9 = e1 & op(e3, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (3315) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3316) op(e3, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3305), (3316), (function-axioms) are
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3317) all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (3317) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3318) all_56_10 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3319) op(e2, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (79), (85), (110),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (120), (121), (125), (126),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (128), (133), (134), (135), (136), (139), (140),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (141), (143), (144), (145), (146), (148), (149),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (192), (193),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (195), (196), (199), (200), (201), (202), (203),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (206), (211), (213), (215), (216), (217), (218),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (219), (220), (222), (223), (224), (226), (227),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (249), (250), (258), (259),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (271), (272), (309), (314),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (349), (352), (354), (358), (360), (373), (3018),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3019), (3020), (3021), (3026), (3027), (3044),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3046), (3052), (3306), (3312), (3313), (3318),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3319), (function-axioms) are inconsistent by
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3320) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3027), (3049), (3320),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | #1049.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | End of split
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | (3321) all_24_2 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | (3322) ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 186.86/28.51 | | | | | | | | | | | | | | | & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 186.86/28.51 | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 186.86/28.51 | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | COMBINE_EQS: (318), (3321) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | (3323) all_4_2 = e1
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (3323) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | (3324) all_44_2 = e1
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | REDUCE: (356), (3323) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | (3325) ~ (all_52_7 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | REDUCE: (360), (3323) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | (3326) ~ (all_52_13 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | REDUCE: (36), (3323) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | (3327) op(e2, e2) = e1
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.86/28.51 | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | (3328) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.86/28.51 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | BETA: splitting (3328) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | (3329) all_56_12 = e1 & op(e0, e3) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | ALPHA: (3329) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | (3330) all_56_12 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | (3331) op(e0, e3) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | (3332) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.86/28.51 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | BETA: splitting (3332) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3333) all_56_9 = e1 & op(e3, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | ALPHA: (3333) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3334) op(e3, e0) = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3331) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3335) all_52_3 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (3334) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3336) all_52_12 = e1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3335) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3337) ~ (all_52_7 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3335) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3338) ~ (all_52_11 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3336) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3339) ~ (all_52_4 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3336) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3340) ~ (all_52_13 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3336) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3341) ~ (all_52_14 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | REDUCE: (348), (3336) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3342) ~ (all_6_2 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | SIMP: (3342) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | (3343) ~ (all_6_2 = e1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3344) ~ (all_48_2 = e3)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (3015), (3344) imply:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3345) $false
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | CLOSE: (3345) is inconsistent.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | (3346) ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_48_1 & $i(all_48_0) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e0, e3)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3346) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3347) ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_48_1 & $i(all_48_0) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3347) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3348) ~ (all_48_0 = e2)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3349) op(e0, e3) = all_48_1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | (3350) op(all_48_1, e0) = all_48_0
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3013) gives:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3351) ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_18_1 & $i(all_18_0) &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3351) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3352) op(e0, e3) = all_18_1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (97), (110), (117), (123),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (135), (136), (145), (157),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (191), (193), (197), (203),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (204), (207), (216), (217), (218), (219), (220),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (238), (248), (250),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (260), (272), (279), (346), (374), (377), (3019),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3020), (3021), (3027), (3044), (3045), (3047),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3048), (3049), (3052), (3322), (3324), (3325),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3326), (3327), (3330), (3331), (3339), (3343),
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3348), (3349), (3350), (3352), (function-axioms)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1037.
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3353) ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3353) implies:
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | | (3354) op(e0, e3) = all_18_1
% 186.86/28.51 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (97), (110), (117), (123),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (135), (136), (145), (157),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (191), (193), (197), (203),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (204), (207), (216), (217), (218), (219), (220),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (238), (248), (250),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (260), (272), (279), (346), (374), (377), (3019),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (3020), (3021), (3027), (3044), (3045), (3047),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (3048), (3049), (3052), (3322), (3324), (3325),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (3326), (3327), (3330), (3331), (3339), (3343),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | (3348), (3349), (3350), (3354), (function-axioms)
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1037.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | (3355) ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3355) implies:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | (3356) ~ (all_48_1 = e1)
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | (3357) op(e0, e3) = all_48_1
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3013), (3331), (3356), (3357), (function-axioms)
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1035.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3358) all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | ALPHA: (3358) implies:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3359) op(e2, e0) = e1
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3326), (3359), (function-axioms) are
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (3360) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3027), (3049), (3360),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.52 | | | | | | | | | | | | | | | | | | #1049.
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (3361) all_56_13 = e1 & op(e0, e2) = e1
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | ALPHA: (3361) implies:
% 186.86/28.52 | | | | | | | | | | | | | | | | | (3362) op(e0, e2) = e1
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3325), (3362), (function-axioms) are
% 186.86/28.52 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1649.
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | (3363) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.86/28.52 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3027), (3048), (3363),
% 186.86/28.52 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.52 | | | | | | | | | | | | | | | | #1114.
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | (3364) all_54_10 = e0
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | COMBINE_EQS: (336), (3364) imply:
% 186.86/28.52 | | | | | | | | | | | | | | (3365) all_10_2 = e0
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | REDUCE: (3031), (3365) imply:
% 186.86/28.52 | | | | | | | | | | | | | | (3366) $false
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | CLOSE: (3366) is inconsistent.
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | (3367) all_22_2 = e0
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | COMBINE_EQS: (251), (3367) imply:
% 186.86/28.52 | | | | | | | | | | | (3368) all_10_2 = e0
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (350), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3369) ~ (all_52_2 = e0)
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (363), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3370) ~ (all_52_8 = e0)
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (364), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3371) ~ (all_52_9 = e0)
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (366), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3372) ~ (all_52_11 = e0)
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (368), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3373) ~ (all_52_14 = e0)
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (3029), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3374) ~ (e3 = e0)
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (375), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3375) ~ (e2 = e0)
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | REDUCE: (45), (3368) imply:
% 186.86/28.52 | | | | | | | | | | | (3376) op(e1, e1) = e0
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | BETA: splitting (67) gives:
% 186.86/28.52 | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | (3377) ~ (all_24_2 = e1)
% 186.86/28.52 | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | REDUCE: (318), (3377) imply:
% 186.86/28.52 | | | | | | | | | | | | (3378) ~ (all_4_2 = e1)
% 186.86/28.52 | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.86/28.52 | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | (3379) ~ (all_26_2 = e1)
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | REDUCE: (307), (3379) imply:
% 186.86/28.52 | | | | | | | | | | | | | (3380) ~ (all_6_2 = e1)
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | (3381) all_54_0 = e3
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | COMBINE_EQS: (279), (3381) imply:
% 186.86/28.52 | | | | | | | | | | | | | | (3382) all_6_2 = e3
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | SIMP: (3382) implies:
% 186.86/28.52 | | | | | | | | | | | | | | (3383) all_6_2 = e3
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | REDUCE: (39), (3383) imply:
% 186.86/28.52 | | | | | | | | | | | | | | (3384) op(e3, e3) = e3
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 186.86/28.52 | | | | | | | | | | | | | | (117), (141), (143), (157), (160), (162), (163),
% 186.86/28.52 | | | | | | | | | | | | | | (164), (165), (167), (168), (199), (206), (210),
% 186.86/28.52 | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (218), (219),
% 186.86/28.52 | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 186.86/28.52 | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 186.86/28.52 | | | | | | | | | | | | | | (238), (239), (268), (309), (314), (349), (358),
% 186.86/28.52 | | | | | | | | | | | | | | (360), (373), (3019), (3020), (3021), (3026),
% 186.86/28.52 | | | | | | | | | | | | | | (3027), (3369), (3371), (3372), (3373), (3376),
% 186.86/28.52 | | | | | | | | | | | | | | (3378), (3384), (function-axioms) are inconsistent
% 186.86/28.52 | | | | | | | | | | | | | | by sub-proof #1010.
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | (3385) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3380), (3385) are
% 186.86/28.52 | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | (3386) all_26_2 = e1
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | COMBINE_EQS: (307), (3386) imply:
% 186.86/28.52 | | | | | | | | | | | | | (3387) all_6_2 = e1
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | SIMP: (3387) implies:
% 186.86/28.52 | | | | | | | | | | | | | (3388) all_6_2 = e1
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | REDUCE: (340), (3388) imply:
% 186.86/28.52 | | | | | | | | | | | | | (3389) ~ (all_52_2 = e1)
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | REDUCE: (344), (3388) imply:
% 186.86/28.52 | | | | | | | | | | | | | (3390) ~ (all_52_4 = e1)
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | REDUCE: (346), (3388) imply:
% 186.86/28.52 | | | | | | | | | | | | | (3391) ~ (all_52_8 = e1)
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | REDUCE: (377), (3388) imply:
% 186.86/28.52 | | | | | | | | | | | | | (3392) ~ (e2 = e1)
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | REDUCE: (39), (3388) imply:
% 186.86/28.52 | | | | | | | | | | | | | (3393) op(e3, e3) = e1
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 186.86/28.52 | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | (3394) ~ (all_32_2 = e0)
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | REDUCE: (314), (3394) imply:
% 186.86/28.52 | | | | | | | | | | | | | | (3395) ~ (all_4_2 = e0)
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.86/28.52 | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | (3396) all_54_5 = e3
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3396) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | (3397) all_4_2 = e3
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | REDUCE: (373), (3397) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | (3398) $false
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | CLOSE: (3398) is inconsistent.
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | (3399) ~ (all_54_5 = e3)
% 186.86/28.52 | | | | | | | | | | | | | | | (3400) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | BETA: splitting (3400) gives:
% 186.86/28.52 | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | (3401) all_54_5 = e2
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3401) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | | (3402) all_4_2 = e2
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | REDUCE: (349), (3402) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | | (3403) ~ (all_52_1 = e2)
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | REDUCE: (358), (3402) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | | (3404) ~ (all_52_9 = e2)
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | REDUCE: (360), (3402) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | | (3405) ~ (all_52_13 = e2)
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | REDUCE: (373), (3402) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | | (3406) ~ (e3 = e2)
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | REDUCE: (36), (3402) imply:
% 186.86/28.52 | | | | | | | | | | | | | | | | (3407) op(e2, e2) = e2
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.86/28.52 | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (3408) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.52 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.86/28.52 | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.86/28.52 | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.86/28.52 | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.86/28.52 | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | BETA: splitting (3408) gives:
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (3409) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.52 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | BETA: splitting (3409) gives:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3410) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3403), (3410), (function-axioms) are
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3411) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (3389), (3411),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | #1973.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (3412) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.52 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.52 | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | BETA: splitting (3412) gives:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3413) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3027), (3376), (3413),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | #1394.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3414) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (3414) gives:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | (3415) all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (3415) implies:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | (3416) op(e3, e3) = e2
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3393), (3416), (function-axioms) are
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | (3417) (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3027), (3407), (3417),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | | #1024.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (3418) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.52 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.52 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.52 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.52 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.86/28.52 | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.86/28.52 | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.52 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.52 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.52 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.52 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | BETA: splitting (3418) gives:
% 186.86/28.52 | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (3419) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.52 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.52 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | BETA: splitting (3419) gives:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3420) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (3027), (3404), (3420),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | #1221.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (3421) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3019), (3027), (3421),
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.52 | | | | | | | | | | | | | | | | | | | #1189.
% 186.86/28.52 | | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.52 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | (3422) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.53 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 186.86/28.53 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.53 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.53 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | BETA: splitting (3422) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (3423) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3393), (3423), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (3424) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (3425) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | ALPHA: (3425) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (3426) op(e2, e0) = e2
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3405), (3426), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (3427) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3427) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (3428) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3428) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (3429) op(e2, e2) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3407), (3429), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (3430) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3430) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (3431) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (3372), (3376),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (3393), (3407), (3431), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | (3432) all_54_5 = e1 | all_54_5 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3378), (3395), (3432) are inconsistent by
% 186.86/28.53 | | | | | | | | | | | | | | | | sub-proof #1941.
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | (3433) all_32_2 = e0
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | COMBINE_EQS: (314), (3433) imply:
% 186.86/28.53 | | | | | | | | | | | | | | (3434) all_4_2 = e0
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | SIMP: (3434) implies:
% 186.86/28.53 | | | | | | | | | | | | | | (3435) all_4_2 = e0
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | COMBINE_EQS: (309), (3435) imply:
% 186.86/28.53 | | | | | | | | | | | | | | (3436) all_36_2 = e0
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | REDUCE: (3378), (3435) imply:
% 186.86/28.53 | | | | | | | | | | | | | | (3437) ~ (e1 = e0)
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | REDUCE: (36), (3435) imply:
% 186.86/28.53 | | | | | | | | | | | | | | (3438) op(e2, e2) = e0
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 186.86/28.53 | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | (3439) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 186.86/28.53 | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | BETA: splitting (3439) gives:
% 186.86/28.53 | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | (3440) all_56_0 = e0 & op(e3, e3) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | ALPHA: (3440) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | (3441) op(e3, e3) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3393), (3441), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | (3442) all_56_1 = e0 & op(e3, e2) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | ALPHA: (3442) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | (3443) all_56_1 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | (3444) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (3443), (3444),
% 186.86/28.53 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.53 | | | | | | | | | | | | | | | | | #1928.
% 186.86/28.53 | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | (3445) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | BETA: splitting (3445) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | (3446) all_56_7 = e3 & op(e1, e2) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | ALPHA: (3446) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | (3447) all_56_7 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (3448) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3393), (3443), (3448),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | #1417.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | (3449) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (3449) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (3450) all_56_4 = e3 & op(e3, e1) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | ALPHA: (3450) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | (3451) all_56_4 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (3452) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3453) all_56_6 = e1 & op(e1, e3) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3453) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3454) op(e1, e3) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3389), (3454), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3455) all_56_7 = e1 & op(e1, e2) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3455) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3456) all_56_7 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (373), (3438), (3443), (3456), (function-axioms)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1903.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | (3457) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3457) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3458) all_56_8 = e1 & op(e1, e1) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3458) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3459) op(e1, e1) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3376), (3459), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3460) all_56_11 = e1 & op(e1, e0) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3460) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | (3461) all_56_11 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | (3462) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_56_6 = e2 & op(e1, e3) = e2
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3463) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_56_6 = e2
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | (3465) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (3020), (3393),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | (3436), (3438), (3465), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1074.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | (3466) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3466) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3467) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) all_56_6 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (3376), (3447), (3461),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3468), (function-axioms) are inconsistent by
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1576.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_56_12 = e0 & op(e0, e3) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3469) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_56_12 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3471) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_56_0 = e3 & op(e3, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3472) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) op(e3, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3393), (3473), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_56_2 = e3 & op(e2, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3474) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_56_2 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_56_15 = e0 & op(e0, e0) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3476) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_56_15 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3026), (3477) imply:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) e3 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3478) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) e3 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3475), (3479) imply:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_56_2 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (3020), (3436),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438), (3480), (function-axioms) are inconsistent
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1213.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3481) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3482) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_56_9 = e0 & op(e3, e0) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3483) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_56_9 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (3393), (3443), (3451),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484), (function-axioms) are inconsistent by
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1917.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3485) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) all_56_10 = e0 & op(e2, e0) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3486) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_56_10 = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3488) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3489) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) all_56_2 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3471) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) all_56_0 = e3 & op(e3, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3491) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) op(e3, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3393), (3492), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3475), (3490) imply:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) e3 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3447), (3493) imply:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_56_7 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (3438), (3443), (3494), (function-axioms)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1903.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3495) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3464), (3496) are inconsistent by sub-proof
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_56_12 = e3 & op(e0, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3497) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_56_12 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (3393),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490), (3498), (function-axioms) are inconsistent
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1845.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_56_3 = e1 & op(e2, e2) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3499) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) op(e2, e2) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3438), (3500), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3501) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_56_5 = e1 & op(e2, e1) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3502) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_56_5 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) op(e2, e1) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3471) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_56_0 = e3 & op(e3, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3505) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) op(e3, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3393), (3506), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (223), (3376), (3438),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447), (3461), (3464), (3475), (3487), (3504),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1438.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3464), (3508) are inconsistent by sub-proof
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) all_56_12 = e3 & op(e0, e3) = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3509) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_56_12 = e3
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (3376),
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451), (3470), (3503), (3510), (function-axioms)
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1426.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3511) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) all_56_10 = e1
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3487), (3512) are inconsistent by sub-proof
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_56_11 = e0 & op(e1, e0) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) op(e1, e0) = e0
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3373), (3514), (function-axioms) are
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3515) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3464), (3516) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) all_56_12 = e3 & op(e0, e3) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3517) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_56_12 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3470), (3518) imply:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) e3 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3451), (3519) imply:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_56_4 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376), (3520), (function-axioms) are inconsistent
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1809.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | (3521) all_56_7 = e2 & op(e1, e2) = e2
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3447), (3521) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | | #1925.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | (3522) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3376), (3461), (3522),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | | #1614.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (3523) all_56_9 = e3 & op(e3, e0) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (3523) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (3524) op(e3, e0) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3019), (3524), (function-axioms) are
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3525) all_56_13 = e3 & op(e0, e2) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | ALPHA: (3525) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3526) all_56_13 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (227), (228), (373), (3390), (3438), (3443),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3526), (function-axioms) are inconsistent by
% 186.86/28.54 | | | | | | | | | | | | | | | | | | sub-proof #1901.
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | (3527) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | BETA: splitting (3527) gives:
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | (3528) all_56_4 = e0 & op(e3, e1) = e0
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | ALPHA: (3528) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | (3529) all_56_4 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 186.86/28.54 | | | | | | | | | | | | | | | | (3376), (3529), (function-axioms) are inconsistent
% 186.86/28.54 | | | | | | | | | | | | | | | | by sub-proof #1809.
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | (3530) all_56_9 = e0 & op(e3, e0) = e0
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | ALPHA: (3530) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | (3531) all_56_9 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | (3532) op(e3, e0) = e0
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | (3533) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 186.86/28.54 | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (3020), (3393),
% 186.86/28.54 | | | | | | | | | | | | | | | | | (3436), (3438), (3533), (function-axioms) are
% 186.86/28.54 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1074.
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | (3534) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3535) all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | ALPHA: (3535) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3536) all_56_6 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3537) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (3537) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (3538) all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (3538) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (3539) all_56_6 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3536), (3539) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | #1581.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (3540) all_56_7 = e3 & op(e1, e2) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (3540) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (3541) all_56_7 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (216), (3376), (3389), (3536), (3541),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | | #1009.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3542) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (3021), (3376), (3542),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | #1406.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3543) all_56_12 = e0 & op(e0, e3) = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | ALPHA: (3543) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3544) all_56_12 = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3545) op(e0, e3) = e0
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (146), (157), (160), (163), (165), (167), (169),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (170), (202), (208), (214), (215), (216), (218),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (219), (220), (226), (233), (234), (236), (238),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (271), (373), (3021), (3027), (3370), (3371),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3372), (3376), (3389), (3391), (3393), (3438),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3531), (3532), (3544), (3545), (function-axioms)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1379.
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | (3546) all_24_2 = e1
% 186.86/28.54 | | | | | | | | | | | | (3547) ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 186.86/28.54 | | | | | | | | | | | | & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 186.86/28.54 | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 186.86/28.54 | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | COMBINE_EQS: (318), (3546) imply:
% 186.86/28.54 | | | | | | | | | | | | (3548) all_4_2 = e1
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | SIMP: (3548) implies:
% 186.86/28.54 | | | | | | | | | | | | (3549) all_4_2 = e1
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | COMBINE_EQS: (292), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3550) all_44_2 = e1
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | REDUCE: (352), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3551) ~ (all_52_4 = e1)
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | REDUCE: (354), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3552) ~ (all_52_6 = e1)
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | REDUCE: (356), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3553) ~ (all_52_7 = e1)
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | REDUCE: (358), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3554) ~ (all_52_9 = e1)
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | REDUCE: (360), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3555) ~ (all_52_13 = e1)
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | REDUCE: (373), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3556) ~ (e3 = e1)
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | REDUCE: (36), (3549) imply:
% 186.86/28.54 | | | | | | | | | | | | (3557) op(e2, e2) = e1
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.86/28.54 | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | (3558) ~ (all_26_2 = e1)
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | REDUCE: (307), (3558) imply:
% 186.86/28.54 | | | | | | | | | | | | | (3559) ~ (all_6_2 = e1)
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | (3560) all_54_0 = e3
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | COMBINE_EQS: (279), (3560) imply:
% 186.86/28.54 | | | | | | | | | | | | | | (3561) all_6_2 = e3
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | REDUCE: (346), (3561) imply:
% 186.86/28.54 | | | | | | | | | | | | | | (3562) ~ (all_52_8 = e3)
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | REDUCE: (39), (3561) imply:
% 186.86/28.54 | | | | | | | | | | | | | | (3563) op(e3, e3) = e3
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (97), (103), (112),
% 186.86/28.54 | | | | | | | | | | | | | | (117), (118), (120), (121), (123), (125), (128),
% 186.86/28.54 | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (140), (143),
% 186.86/28.54 | | | | | | | | | | | | | | (144), (157), (158), (159), (160), (162), (164),
% 186.86/28.54 | | | | | | | | | | | | | | (165), (168), (169), (170), (190), (191), (192),
% 186.86/28.54 | | | | | | | | | | | | | | (196), (201), (202), (203), (206), (207), (208),
% 186.86/28.54 | | | | | | | | | | | | | | (210), (211), (214), (216), (217), (218), (219),
% 186.86/28.54 | | | | | | | | | | | | | | (220), (221), (223), (224), (227), (228), (230),
% 186.86/28.54 | | | | | | | | | | | | | | (231), (232), (233), (238), (239), (247), (248),
% 186.86/28.54 | | | | | | | | | | | | | | (249), (259), (270), (271), (272), (3013), (3015),
% 186.86/28.54 | | | | | | | | | | | | | | (3016), (3019), (3020), (3021), (3026), (3027),
% 186.86/28.54 | | | | | | | | | | | | | | (3369), (3370), (3372), (3376), (3547), (3550),
% 186.86/28.54 | | | | | | | | | | | | | | (3551), (3552), (3553), (3554), (3555), (3557),
% 186.86/28.54 | | | | | | | | | | | | | | (3562), (3563), (function-axioms) are inconsistent
% 186.86/28.54 | | | | | | | | | | | | | | by sub-proof #985.
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | (3564) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3559), (3564) are
% 186.86/28.54 | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | (3565) all_26_2 = e1
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | COMBINE_EQS: (307), (3565) imply:
% 186.86/28.54 | | | | | | | | | | | | | (3566) all_6_2 = e1
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | SIMP: (3566) implies:
% 186.86/28.54 | | | | | | | | | | | | | (3567) all_6_2 = e1
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | REDUCE: (340), (3567) imply:
% 186.86/28.54 | | | | | | | | | | | | | (3568) ~ (all_52_2 = e1)
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | REDUCE: (342), (3567) imply:
% 186.86/28.54 | | | | | | | | | | | | | (3569) ~ (all_52_3 = e1)
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | REDUCE: (348), (3567) imply:
% 186.86/28.54 | | | | | | | | | | | | | (3570) ~ (all_52_12 = e1)
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | REDUCE: (377), (3567) imply:
% 186.86/28.54 | | | | | | | | | | | | | (3571) ~ (e2 = e1)
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | REDUCE: (39), (3567) imply:
% 186.86/28.54 | | | | | | | | | | | | | (3572) op(e3, e3) = e1
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.86/28.54 | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | (3573) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.86/28.54 | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (3555), (3570), (3573),
% 186.86/28.54 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | #1190.
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | (3574) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.86/28.54 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | BETA: splitting (3574) gives:
% 186.86/28.54 | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | (3575) all_56_11 = e1 & op(e1, e0) = e1
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | ALPHA: (3575) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | (3576) op(e1, e0) = e1
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.86/28.54 | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | (3577) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.86/28.54 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.54 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.86/28.54 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.54 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.54 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.54 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.54 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.54 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.86/28.54 | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 186.86/28.54 | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.86/28.54 | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.86/28.54 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 186.86/28.54 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.54 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.86/28.54 | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.86/28.54 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.86/28.54 | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.86/28.54 | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 186.86/28.54 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.86/28.54 | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.86/28.54 | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.86/28.54 | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.54 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.54 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.54 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | BETA: splitting (3577) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | (3578) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | BETA: splitting (3578) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3579) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | BETA: splitting (3579) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3580) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | ALPHA: (3580) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3581) op(e1, e1) = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3376), (3581), (function-axioms) are
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3582) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | ALPHA: (3582) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3583) ~ (all_57_2 = e0)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3584) op(e0, e3) = all_57_2
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3585) op(e2, e3) = e2
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | all_57_2, e3, e0, simplifying with (159), (3584)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3586) all_57_2 = all_52_3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3585) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3587) all_52_1 = e2
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3587) imply:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3588) ~ (all_52_3 = e2)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | SIMP: (3588) implies:
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3589) ~ (all_52_3 = e2)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (192), (249), (3016), (3569), (3583),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | (3584), (3589), (function-axioms) are inconsistent
% 186.86/28.54 | | | | | | | | | | | | | | | | | | | by sub-proof #984.
% 186.86/28.54 | | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3590) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.54 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (3557), (3568), (3590),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | #1678.
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | (3591) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.54 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.54 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.54 | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.86/28.54 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | $i(all_57_10))
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | BETA: splitting (3591) gives:
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3592) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.54 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3027), (3376), (3592),
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.54 | | | | | | | | | | | | | | | | | | #1394.
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (3593) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.54 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.86/28.54 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.54 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.54 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.54 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3552), (3572), (3593), (function-axioms)
% 186.86/28.54 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1318.
% 186.86/28.54 | | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | | End of split
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.54 | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54 | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | (3594) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.55 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.55 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.55 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.55 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.55 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.55 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.86/28.55 | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.86/28.55 | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.86/28.55 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 186.86/28.55 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.55 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.55 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.55 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.55 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.55 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.55 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.55 | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | BETA: splitting (3594) gives:
% 186.86/28.55 | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3595) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.55 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.55 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3019), (3027), (3557), (3595),
% 186.86/28.55 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.55 | | | | | | | | | | | | | | | | | #1188.
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3596) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.55 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.86/28.55 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.55 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.86/28.55 | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.86/28.55 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 186.86/28.55 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.86/28.55 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.55 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.55 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.55 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.55 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | BETA: splitting (3596) gives:
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | (3597) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 186.86/28.55 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.55 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 186.86/28.55 | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3572), (3597), (function-axioms) are
% 186.86/28.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 186.86/28.55 | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | (3598) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 186.86/28.55 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.55 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 186.86/28.55 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.55 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.55 | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | BETA: splitting (3598) gives:
% 186.86/28.55 | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | (3599) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | ALPHA: (3599) implies:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | (3600) ~ (all_57_13 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | (3601) op(e1, e0) = all_57_13
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3576), (3600), (3601), (function-axioms) are
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1437.
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | (3602) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (3603) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (3603) implies:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (3604) op(e2, e2) = e0
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3557), (3604), (function-axioms) are
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (3605) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (3605) implies:
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (3606) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (157), (3372), (3376), (3557),
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | (3572), (3606), (function-axioms) are inconsistent
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | | by sub-proof #1316.
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | (3607) all_56_15 = e1 & op(e0, e0) = e1
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | ALPHA: (3607) implies:
% 186.86/28.55 | | | | | | | | | | | | | | | (3608) op(e0, e0) = e1
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | REF_CLOSE: (8), (3027), (3608), (function-axioms) are
% 186.86/28.55 | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | (3609) all_20_2 = e3
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | COMBINE_EQS: (325), (3609) imply:
% 186.86/28.55 | | | | | | | | | | (3610) all_10_2 = e3
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | SIMP: (3610) implies:
% 186.86/28.55 | | | | | | | | | | (3611) all_10_2 = e3
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | REDUCE: (361), (3611) imply:
% 186.86/28.55 | | | | | | | | | | (3612) ~ (all_52_6 = e3)
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | REDUCE: (364), (3611) imply:
% 186.86/28.55 | | | | | | | | | | (3613) ~ (all_52_9 = e3)
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | REDUCE: (45), (3611) imply:
% 186.86/28.55 | | | | | | | | | | (3614) op(e1, e1) = e3
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | BETA: splitting (224) gives:
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | (3615) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.86/28.55 | | | | | | | | | | | & op(e2, e2) = e3)
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | BETA: splitting (3615) gives:
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | (3616) all_56_2 = e3 & op(e2, e3) = e3
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | ALPHA: (3616) implies:
% 186.86/28.55 | | | | | | | | | | | | (3617) all_56_2 = e3
% 186.86/28.55 | | | | | | | | | | | | (3618) op(e2, e3) = e3
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | (3619) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.86/28.55 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | BETA: splitting (3619) gives:
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | (3620) all_56_1 = e3 & op(e3, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | ALPHA: (3620) implies:
% 186.86/28.55 | | | | | | | | | | | | | | (3621) all_56_1 = e3
% 186.86/28.55 | | | | | | | | | | | | | | (3622) op(e3, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (39), (67), (79), (85),
% 186.86/28.55 | | | | | | | | | | | | | | (117), (133), (134), (139), (145), (157), (159),
% 186.86/28.55 | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 186.86/28.55 | | | | | | | | | | | | | | (170), (199), (204), (206), (207), (208), (210),
% 186.86/28.55 | | | | | | | | | | | | | | (213), (214), (217), (218), (219), (220), (222),
% 186.86/28.55 | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (231),
% 186.86/28.55 | | | | | | | | | | | | | | (232), (233), (234), (235), (238), (239), (268),
% 186.86/28.55 | | | | | | | | | | | | | | (279), (309), (314), (318), (340), (342), (344),
% 186.86/28.55 | | | | | | | | | | | | | | (346), (348), (352), (354), (358), (360), (374),
% 186.86/28.55 | | | | | | | | | | | | | | (377), (3026), (3027), (3614), (3617), (3618),
% 186.86/28.55 | | | | | | | | | | | | | | (3621), (3622), (function-axioms) are inconsistent
% 186.86/28.55 | | | | | | | | | | | | | | by sub-proof #1180.
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | (3623) all_56_3 = e3 & op(e2, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | ALPHA: (3623) implies:
% 186.86/28.55 | | | | | | | | | | | | | | (3624) op(e2, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3624), (function-axioms) are
% 186.86/28.55 | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | (3625) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.86/28.55 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | BETA: splitting (3625) gives:
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | (3626) all_56_7 = e3 & op(e1, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | ALPHA: (3626) implies:
% 186.86/28.55 | | | | | | | | | | | | | | (3627) op(e1, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 186.86/28.55 | | | | | | | | | | | | | | e2, e1, simplifying with (162), (3627) gives:
% 186.86/28.55 | | | | | | | | | | | | | | (3628) all_52_6 = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | REDUCE: (3612), (3628) imply:
% 186.86/28.55 | | | | | | | | | | | | | | (3629) $false
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | CLOSE: (3629) is inconsistent.
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | (3630) all_56_13 = e3 & op(e0, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | ALPHA: (3630) implies:
% 186.86/28.55 | | | | | | | | | | | | | | (3631) op(e0, e2) = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 186.86/28.55 | | | | | | | | | | | | | | e2, e0, simplifying with (158), (3631) gives:
% 186.86/28.55 | | | | | | | | | | | | | | (3632) all_52_7 = e3
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | REDUCE: (3017), (3632) imply:
% 186.86/28.55 | | | | | | | | | | | | | | (3633) $false
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | CLOSE: (3633) is inconsistent.
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | (3634) all_56_3 = e3 & op(e2, e2) = e3
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | ALPHA: (3634) implies:
% 186.86/28.55 | | | | | | | | | | | | (3635) op(e2, e2) = e3
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | REF_CLOSE: (36), (373), (3635), (function-axioms) are
% 186.86/28.55 | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | (3636) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.86/28.55 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | REF_CLOSE: (164), (165), (3020), (3613), (3636),
% 186.86/28.55 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 186.86/28.55 | | | | | | | | | | | #1455.
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | End of split
% 186.86/28.55 | | | | | | | | |
% 186.86/28.55 | | | | | | | | End of split
% 186.86/28.55 | | | | | | | |
% 186.86/28.55 | | | | | | | End of split
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | End of split
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | Case 2:
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | (3637) all_14_2 = e1
% 186.86/28.55 | | | | | | (3638) ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0,
% 186.86/28.55 | | | | | | e1) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~
% 186.86/28.55 | | | | | | (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1))
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | COMBINE_EQS: (327), (3637) imply:
% 186.86/28.55 | | | | | | (3639) all_16_2 = e1
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | REDUCE: (351), (3637) imply:
% 186.86/28.55 | | | | | | (3640) ~ (all_52_3 = e1)
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | REDUCE: (362), (3637) imply:
% 186.86/28.55 | | | | | | (3641) ~ (all_52_7 = e1)
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | REDUCE: (369), (3637) imply:
% 186.86/28.55 | | | | | | (3642) ~ (all_52_11 = e1)
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | REDUCE: (370), (3637) imply:
% 186.86/28.55 | | | | | | (3643) ~ (all_52_12 = e1)
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | REDUCE: (371), (3637) imply:
% 186.86/28.55 | | | | | | (3644) ~ (all_52_13 = e1)
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | REDUCE: (372), (3637) imply:
% 186.86/28.55 | | | | | | (3645) ~ (all_52_14 = e1)
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | REDUCE: (51), (3637) imply:
% 186.86/28.55 | | | | | | (3646) op(e0, e0) = e1
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | BETA: splitting (55) gives:
% 186.86/28.55 | | | | | |
% 186.86/28.55 | | | | | | Case 1:
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | | (3647) ~ (all_16_2 = e1)
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | | REDUCE: (3639), (3647) imply:
% 186.86/28.55 | | | | | | | (3648) $false
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | | CLOSE: (3648) is inconsistent.
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | Case 2:
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | | (3649) ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 186.86/28.55 | | | | | | | op(e0, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1)) |
% 186.86/28.55 | | | | | | | ( ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 186.86/28.55 | | | | | | | $i(all_16_1))
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | | BETA: splitting (61) gives:
% 186.86/28.55 | | | | | | |
% 186.86/28.55 | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | |
% 186.86/28.55 | | | | | | | | (3650) ~ (all_20_2 = e3)
% 186.86/28.55 | | | | | | | |
% 186.86/28.55 | | | | | | | | REDUCE: (325), (3650) imply:
% 186.86/28.55 | | | | | | | | (3651) ~ (all_10_2 = e3)
% 186.86/28.55 | | | | | | | |
% 186.86/28.55 | | | | | | | | BETA: splitting (64) gives:
% 186.86/28.55 | | | | | | | |
% 186.86/28.55 | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | |
% 186.86/28.55 | | | | | | | | | (3652) ~ (all_22_2 = e0)
% 186.86/28.55 | | | | | | | | |
% 186.86/28.55 | | | | | | | | | REDUCE: (251), (3652) imply:
% 186.86/28.55 | | | | | | | | | (3653) ~ (all_10_2 = e0)
% 186.86/28.55 | | | | | | | | |
% 186.86/28.55 | | | | | | | | | BETA: splitting (194) gives:
% 186.86/28.55 | | | | | | | | |
% 186.86/28.55 | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | (3654) all_54_10 = e3
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | REF_CLOSE: (336), (3651), (3654) are inconsistent by
% 186.86/28.55 | | | | | | | | | | sub-proof #983.
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | (3655) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | BETA: splitting (3655) gives:
% 186.86/28.55 | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | (3656) all_54_10 = e2
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | REF_CLOSE: (336), (375), (3656) are inconsistent by sub-proof
% 186.86/28.55 | | | | | | | | | | | #982.
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | Case 2:
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | (3657) ~ (all_54_10 = e2)
% 186.86/28.55 | | | | | | | | | | | (3658) all_54_10 = e1 | all_54_10 = e0
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | BETA: splitting (3658) gives:
% 186.86/28.55 | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | (3659) all_54_10 = e1
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | COMBINE_EQS: (336), (3659) imply:
% 186.86/28.55 | | | | | | | | | | | | (3660) all_10_2 = e1
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | SIMP: (3660) implies:
% 186.86/28.55 | | | | | | | | | | | | (3661) all_10_2 = e1
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | REDUCE: (361), (3661) imply:
% 186.86/28.55 | | | | | | | | | | | | (3662) ~ (all_52_6 = e1)
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | REDUCE: (363), (3661) imply:
% 186.86/28.55 | | | | | | | | | | | | (3663) ~ (all_52_8 = e1)
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | REDUCE: (364), (3661) imply:
% 186.86/28.55 | | | | | | | | | | | | (3664) ~ (all_52_9 = e1)
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | REDUCE: (375), (3661) imply:
% 186.86/28.55 | | | | | | | | | | | | (3665) ~ (e2 = e1)
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | REDUCE: (45), (3661) imply:
% 186.86/28.55 | | | | | | | | | | | | (3666) op(e1, e1) = e1
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | BETA: splitting (67) gives:
% 186.86/28.55 | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | (3667) ~ (all_24_2 = e1)
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | REDUCE: (318), (3667) imply:
% 186.86/28.55 | | | | | | | | | | | | | (3668) ~ (all_4_2 = e1)
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.55 | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | (3669) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.55 | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | BETA: splitting (3669) gives:
% 186.86/28.55 | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | (3670) all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | ALPHA: (3670) implies:
% 186.86/28.55 | | | | | | | | | | | | | | | (3671) all_56_2 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | (3672) op(e2, e3) = e1
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.86/28.55 | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | (3673) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | BETA: splitting (3673) gives:
% 186.86/28.55 | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3674) all_56_1 = e1 & op(e3, e2) = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | ALPHA: (3674) implies:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3675) all_56_1 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3676) op(e3, e2) = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 186.86/28.55 | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3672) gives:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3677) all_52_1 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 186.86/28.55 | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (3676) gives:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3678) all_52_4 = e1
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | REDUCE: (149), (3677) imply:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3679) ~ (all_52_2 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | SIMP: (3679) implies:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3680) ~ (all_52_2 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | REDUCE: (148), (3677) imply:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3681) ~ (all_52_3 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | REDUCE: (146), (3677) imply:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3682) ~ (all_52_9 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | REDUCE: (145), (3677) imply:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3683) ~ (all_52_13 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.55 | | | | | | | | | | | | | | | | | REDUCE: (136), (3678) imply:
% 186.86/28.55 | | | | | | | | | | | | | | | | | (3684) ~ (all_52_6 = e1)
% 186.86/28.55 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | REDUCE: (135), (3678) imply:
% 186.86/28.56 | | | | | | | | | | | | | | | | | (3685) ~ (all_52_7 = e1)
% 186.86/28.56 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | REDUCE: (134), (3678) imply:
% 186.86/28.56 | | | | | | | | | | | | | | | | | (3686) ~ (all_52_8 = e1)
% 186.86/28.56 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | REDUCE: (133), (3678) imply:
% 186.86/28.56 | | | | | | | | | | | | | | | | | (3687) ~ (all_52_12 = e1)
% 186.86/28.56 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | REDUCE: (344), (3678) imply:
% 186.86/28.56 | | | | | | | | | | | | | | | | | (3688) ~ (all_6_2 = e1)
% 186.86/28.56 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | SIMP: (3688) implies:
% 186.86/28.56 | | | | | | | | | | | | | | | | | (3689) ~ (all_6_2 = e1)
% 186.86/28.56 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | REDUCE: (352), (3678) imply:
% 186.86/28.56 | | | | | | | | | | | | | | | | | (3690) ~ (all_4_2 = e1)
% 186.86/28.56 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.86/28.56 | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.56 | | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | | (3691) all_54_0 = e3
% 186.86/28.56 | | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3691) imply:
% 186.86/28.56 | | | | | | | | | | | | | | | | | | (3692) all_6_2 = e3
% 186.86/28.56 | | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | | REDUCE: (340), (3692) imply:
% 186.86/28.56 | | | | | | | | | | | | | | | | | | (3693) ~ (all_52_2 = e3)
% 186.86/28.56 | | | | | | | | | | | | | | | | | |
% 186.86/28.56 | | | | | | | | | | | | | | | | | | REDUCE: (346), (3692) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | (3694) ~ (all_52_8 = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | REDUCE: (348), (3692) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | (3695) ~ (all_52_12 = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | REDUCE: (39), (3692) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | (3696) op(e3, e3) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (3697) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (3697) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (3698) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3698) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (3699) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (3666), (3699), (function-axioms) are
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #981.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (3700) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (3646), (3700),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | #980.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (3701) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (3702) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (3666), (3702), (function-axioms) are
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #979.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (3703) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3662), (3668), (3703),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | #1968.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (3704) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (3704) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (3705) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3705) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (3706) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3707) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3708) op(e3, e1) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (3708) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3709) all_52_8 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3709) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3710) $false
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3710) is inconsistent.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3711) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3712) op(e3, e3) = e1
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3696), (3712), (function-axioms) are
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (3713) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3713) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3714) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3714) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3715) all_57_15 = e1
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3716) all_57_7 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3717) ~ (all_57_12 = e1)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3718) ~ (all_57_8 = e0)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3719) op(e0, e1) = all_57_8
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3720) op(e2, e1) = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3721) op(e2, e2) = all_57_12
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | all_57_8, e1, e0, simplifying with (157), (3719)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3722) all_57_8 = all_52_11
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3720) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3723) all_52_9 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | all_57_12, e2, e2, simplifying with (36), (3721)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3724) all_57_12 = all_4_2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3718), (3722) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3725) ~ (all_52_11 = e0)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3723) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3726) ~ (all_52_8 = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3723) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3727) ~ (all_52_11 = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3727) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3728) ~ (all_52_11 = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3723) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3729) ~ (all_52_13 = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3729) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3730) ~ (all_52_13 = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3723) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3731) ~ (all_4_2 = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3731) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | (3732) ~ (all_4_2 = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | (3733) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3733) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_56_4 = e2 & op(e3, e1) = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3734) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | (3735) all_56_4 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3736) all_54_14 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3736) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_52_11 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3737) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_52_11 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3738) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3739) ~ (all_52_3 = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3738) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3740) ~ (all_52_7 = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (3738) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3741) op(e0, e1) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) all_54_5 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3742) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_4_2 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3743) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) $false
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3744) is inconsistent.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3746) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_56_4 = e0 & op(e3, e1) = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3735), (3747) are inconsistent by sub-proof
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1876.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3748) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_56_5 = e0
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3750) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_56_12 = e3 & op(e0, e3) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3751) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_56_12 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (3749), (3753), (function-axioms) are
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #976.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3754) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_56_8 = e3 & op(e1, e1) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3755) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) op(e1, e1) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (3756), (function-axioms) are
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3757) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_56_14 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3671), (3696), (3759),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #975.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3760) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_56_6 = e2 & op(e1, e3) = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3761) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_56_6 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (3671), (3696), (3752),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762), (function-axioms) are inconsistent by
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1600.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_56_12 = e2 & op(e0, e3) = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3763) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_56_12 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3752), (3764) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) e3 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3765) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) e3 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3758), (3766) imply:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_56_14 = e2
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (229), (230),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (3666), (3671), (3675), (3696),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752), (3767), (function-axioms) are inconsistent
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #972.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_56_13 = e3 & op(e0, e2) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3768) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_56_13 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (3749), (3770), (function-axioms) are
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #976.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3771) gives:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_56_8 = e3 & op(e1, e1) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) op(e1, e1) = e3
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (3773), (function-axioms) are
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 187.52/28.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) all_56_14 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (79), (164), (197),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (211), (212), (220), (221), (223),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (260), (268), (314), (360), (3638),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644), (3646), (3649), (3666), (3668), (3671),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3696), (3730), (3732), (3735), (3741),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745), (3749), (3769), (3775), (function-axioms)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #962.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3776) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3777) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_56_14 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_54_2 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3694), (3779) are inconsistent by
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1762.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) ~ (all_54_2 = e3)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3781) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_54_2 = e2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3726), (3782) are inconsistent by
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1761.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_54_2 = e1 | all_54_2 = e0
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3783) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_54_2 = e1
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3663), (3784) are inconsistent by
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1760.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_54_2 = e0
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3785) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_52_8 = e0
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3786) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_52_8 = e0
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3787) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) ~ (all_52_12 = e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3788) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) ~ (all_52_12 = e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3787) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) ~ (e3 = e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (3787) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) ~ (e1 = e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_54_3 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3792) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_52_12 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3793) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) $false
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3794) is inconsistent.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) ~ (all_54_3 = e3)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3796) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_54_3 = e2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3797) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_52_12 = e2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3798) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) ~ (all_52_14 = e2)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3799) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) ~ (all_52_14 = e2)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3798) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) ~ (e3 = e2)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3802) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_56_2 = e3 & op(e2, e3) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3671), (3803) are inconsistent by sub-proof
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_56_3 = e3 & op(e2, e2) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3804) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_56_3 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) op(e2, e2) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (140), (144),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (212), (220), (223), (230),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (248), (249), (259), (268), (356), (3640),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641), (3646), (3666), (3668), (3671), (3675),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680), (3693), (3696), (3732), (3739), (3740),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745), (3749), (3778), (3805), (3806),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #956.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3807) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_56_5 = e3 & op(e2, e1) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3808) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_56_5 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3749), (3809) are inconsistent by sub-proof
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1838.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_56_10 = e3 & op(e2, e0) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3810) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_56_10 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3812) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_56_1 = e3 & op(e3, e2) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3813) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_56_1 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3675), (3814) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) e3 = e1
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3815) imply:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) $false
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3816) is inconsistent.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_56_3 = e3 & op(e2, e2) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3817) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_56_3 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (223), (230),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (3666), (3671), (3675), (3696), (3749),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778), (3811), (3818), (function-axioms) are
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3819) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_56_7 = e3 & op(e1, e2) = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_56_7 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3822) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3823) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3824) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3825) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) op(e3, e3) = e2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3696), (3826), (function-axioms) are
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3827) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (128), (140),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (191), (192), (193), (195), (211), (213),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (220), (230), (233), (234), (248), (249),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (268), (354), (356), (3640), (3641),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645), (3646), (3662), (3666), (3668), (3671),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3696), (3732), (3735), (3739), (3740),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745), (3749), (3778), (3800), (3811), (3821),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828), (function-axioms) are inconsistent by
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #950.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3829) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3830) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) op(e3, e3) = e1
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3696), (3831), (function-axioms) are
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3832) implies:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (128), (140),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (191), (192), (193), (195), (211), (213),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (220), (230), (233), (234), (248), (249),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (268), (354), (356), (3640), (3641),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645), (3646), (3662), (3666), (3668), (3671),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3696), (3732), (3735), (3739), (3740),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745), (3749), (3778), (3800), (3811), (3821),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833), (function-axioms) are inconsistent by
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #950.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3834) gives:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3646), (3696), (3835),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #949.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3662), (3668), (3836),
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3838) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3839) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3840) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_57_12 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) op(e0, e0) = all_57_15
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3724), (3841) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_4_2 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3844) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_4_2 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (3845) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) ~ (all_52_13 = e0)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3732), (3845) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) ~ (e2 = e0)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3843) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_57_14 = e0 & op(e1, e1) = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3848) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) op(e1, e1) = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3849), (function-axioms) are
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3850) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) op(e1, e0) = all_57_13
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_54_7 = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (3852) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) all_52_13 = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3853) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_52_13 = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3854) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) ~ (all_52_14 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3855) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) ~ (all_52_14 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) all_54_11 = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3856), (3857) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1277.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (211), (213), (220),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (3646), (3666), (3675), (3696),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735), (3749), (3778), (3811), (3821), (3859),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #952.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3860) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_56_8 = e2 & op(e1, e1) = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3861) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) op(e1, e1) = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (3862), (function-axioms) are
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) all_56_11 = e2 & op(e1, e0) = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3863) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_56_11 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) op(e1, e0) = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3858) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) all_54_11 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3800), (3866) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) all_54_11 = e1 | all_54_11 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3867) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) all_54_11 = e1
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3645), (3868) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) all_54_11 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (3869) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_52_14 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3870) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_52_14 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3871) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) ~ (all_52_2 = e0)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (3871) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) op(e1, e0) = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_54_8 = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3693), (3874) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) ~ (all_54_8 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3876) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_54_8 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (3877) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) all_52_2 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3878) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_52_2 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3879) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) ~ (all_52_3 = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3880) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) ~ (all_52_3 = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_54_12 = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3739), (3882) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1466.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) ~ (all_54_12 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3884) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_54_12 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3881), (3885) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1465.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) ~ (all_54_12 = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_54_12 = e1 | all_54_12 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3887) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) all_54_12 = e1
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3640), (3888) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1464.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) all_54_12 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3889) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_52_3 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3890) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_52_3 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13, e0, e1, simplifying with (3851), (3865)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_57_13 = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13, e0, e1, simplifying with (3851), (3873)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_57_13 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3892), (3893) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) e2 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3864), (3894) imply:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) all_56_11 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (211), (220), (230),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (3646), (3666), (3675), (3696), (3735),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749), (3778), (3811), (3895), (function-axioms)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #954.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_54_8 = e1 | all_54_8 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3680), (3872), (3896) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1365.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (3730), (3846), (3897) are
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3898) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) op(e0, e0) = e2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (3899), (function-axioms) are
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3716), (3717), (3900),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #948.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3901) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3902) gives:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3903) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (128), (140),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (191), (192), (193), (195), (211), (213),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (220), (230), (233), (234), (248), (249),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (268), (354), (356), (3640), (3641),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645), (3646), (3662), (3666), (3668), (3671),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3696), (3732), (3735), (3739), (3740),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745), (3749), (3778), (3800), (3811), (3821),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904), (function-axioms) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #950.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3724), (3732), (3905) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1107.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (3716), (3717), (3906),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #947.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_56_13 = e3 & op(e0, e2) = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3907) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_56_13 = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (79), (164), (197),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (211), (212), (220), (221), (223),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (260), (268), (314), (360), (3638),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644), (3646), (3649), (3666), (3668), (3671),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675), (3696), (3730), (3732), (3735), (3741),
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745), (3749), (3778), (3908), (function-axioms)
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #962.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) all_54_3 = e1 | all_54_3 = e0
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3643), (3789), (3909) are inconsistent by
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3910) implies:
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) op(e0, e0) = e3
% 187.52/28.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (3911), (function-axioms) are
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3913) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) op(e1, e1) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3914), (function-axioms) are
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (79), (164), (197),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (220), (221), (223), (230), (234),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (268), (314), (360), (3638), (3644),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646), (3649), (3666), (3668), (3671), (3675),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (3730), (3732), (3735), (3741), (3745),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915), (function-axioms) are inconsistent by
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #963.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | (3916) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3642), (3725), (3728), (3916) are
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | (3917) all_56_5 = e2 & op(e2, e1) = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3917) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | (3918) all_56_5 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | (3919) all_54_14 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3919) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | (3920) all_52_11 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3920) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | (3921) all_52_11 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3921) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | (3922) ~ (all_52_3 = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3921) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | (3923) ~ (all_52_7 = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) all_54_5 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3924) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) all_4_2 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3925) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) $false
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3926) is inconsistent.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) ~ (all_54_5 = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3929) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) all_56_4 = e0 & op(e3, e1) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3930) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) all_56_4 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) all_54_2 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3932) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) all_52_8 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3933) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) $false
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3934) is inconsistent.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) ~ (all_54_2 = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3936) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) all_54_2 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3937) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) all_52_8 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (3938) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) $false
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3939) is inconsistent.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) ~ (all_54_2 = e2)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) all_54_2 = e1 | all_54_2 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3941) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_54_2 = e1
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3942) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_52_8 = e1
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (3943) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) $false
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3944) is inconsistent.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) all_54_2 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3945) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) all_52_8 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3946) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) ~ (all_52_12 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3947) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) ~ (all_52_12 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3946) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) ~ (e3 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (3946) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) ~ (e2 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (3946) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) ~ (e1 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_54_3 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3952) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) all_52_12 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3953) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) $false
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3954) is inconsistent.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) ~ (all_54_3 = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (3918), (3957), (function-axioms) are
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #946.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3958) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_56_8 = e3 & op(e1, e1) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3959) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) op(e1, e1) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (3960), (function-axioms) are
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3961) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) all_56_14 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3956) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_54_3 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3963) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) all_52_12 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3964) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) ~ (all_52_14 = e2)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3965) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) ~ (all_52_14 = e2)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3964) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) ~ (e3 = e2)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3968) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) all_56_2 = e3 & op(e2, e3) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3671), (3969) are inconsistent by sub-proof
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) all_56_3 = e3 & op(e2, e2) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3970) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) all_56_3 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) op(e2, e2) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3973) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) all_56_2 = e0 & op(e2, e3) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3671), (3974) are inconsistent by sub-proof
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1858.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) all_56_3 = e0 & op(e2, e2) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3975) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) all_56_3 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3971), (3976) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) e3 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3962), (3977) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) all_56_14 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666), (3675), (3696), (3918), (3978),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #945.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3979) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3980) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) all_56_5 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (140), (144),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (212), (220), (223), (230),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (248), (249), (259), (268), (356), (3640),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641), (3646), (3666), (3668), (3671), (3675),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680), (3693), (3696), (3732), (3922), (3923),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928), (3962), (3971), (3972), (3981),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #956.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) all_56_10 = e0 & op(e2, e0) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3982) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) all_56_10 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) op(e2, e0) = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3985) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) all_56_9 = e3 & op(e3, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3986) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) all_56_9 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (3675), (3696), (3931),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987), (function-axioms) are inconsistent by
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #967.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) all_56_10 = e3 & op(e2, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3988) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) all_56_10 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3983), (3989) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) e3 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3962), (3990) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_56_14 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666), (3675), (3696), (3918), (3991),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #945.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3992) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_56_11 = e3 & op(e1, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3993) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) all_56_11 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3928) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) all_54_5 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3732), (3995) are inconsistent by
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1106.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) all_54_5 = e1 | all_54_5 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3996) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) all_54_5 = e1
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3668), (3997) are inconsistent by
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1089.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_54_5 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3998) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_4_2 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3999) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) all_4_2 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (4000) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) all_32_2 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (4000) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) ~ (all_52_7 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4000) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) ~ (all_52_13 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) all_54_7 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (4004) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) all_52_13 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4005) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) all_52_13 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4006) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) op(e2, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) ~ (all_32_2 = e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4001), (4008) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) $false
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4009) is inconsistent.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_32_1 & $i(all_32_0) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e1) & op(e2, e0)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) all_54_13 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3923), (4011) are inconsistent by
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1445.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) ~ (all_54_13 = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4013) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_54_13 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4014) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) all_52_7 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4015) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) all_52_7 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4016) imply:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) ~ (all_52_3 = e2)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) all_54_12 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3922), (4018) are inconsistent by
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1466.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) ~ (all_54_12 = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4010) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_32_1 & $i(all_32_0) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4021) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) op(e2, e0) = all_32_1
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (212), (220), (230), (234), (249),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640), (3646), (3666), (3675), (3696), (3918),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922), (3931), (3962), (3983), (3984), (3994),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007), (4017), (4020), (4022), (function-axioms)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #944.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4023) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) op(e2, e0) = all_32_1
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (212), (220), (230), (234), (249),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640), (3646), (3666), (3675), (3696), (3918),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922), (3931), (3962), (3983), (3984), (3994),
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007), (4017), (4020), (4024), (function-axioms)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #944.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) all_54_13 = e1 | all_54_13 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3641), (4002), (4025) are inconsistent by
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1652.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (3730), (4003), (4026) are
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4027) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) op(e0, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4028), (function-axioms) are
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4029) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) all_56_5 = e3 & op(e2, e1) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4030) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) all_56_5 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3918), (4031) are inconsistent by sub-proof
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) all_56_10 = e3 & op(e2, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4032) implies:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) op(e2, e0) = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4034) gives:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4035) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) op(e3, e3) = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3696), (4038), (function-axioms) are
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4039) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_57_12 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3724), (4040) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_4_2 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4041) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) all_4_2 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4042) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) $false
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4043) is inconsistent.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (3663), (3696), (4044),
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1329.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4045) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3646), (3696), (4046),
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #949.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3662), (3668), (4047),
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4048) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4049) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4050) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4051) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) all_57_12 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) op(e2, e0) = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3724), (4052) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) all_4_2 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4054) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_4_2 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (4055) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) all_36_2 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (85), (4033), (4053), (4056),
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1706.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4057) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) op(e0, e0) = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4058), (function-axioms) are
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3716), (3717), (4059),
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #948.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4060) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4061) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4062) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4063) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) all_57_15 = e3 & op(e0, e0) = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4064) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) op(e0, e0) = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4065), (function-axioms) are
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4066) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) ~ (all_57_2 = e0)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) op(e0, e3) = all_57_2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3928) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) all_54_5 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3732), (4069) are inconsistent by
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1106.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_54_5 = e1 | all_54_5 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4070) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) all_54_5 = e1
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3668), (4071) are inconsistent by
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1089.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) all_54_5 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4072) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_4_2 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4073) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_4_2 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4074) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) ~ (all_52_13 = e0)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_54_7 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (4076) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) all_52_13 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (4077) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) ~ (all_52_14 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4078) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) ~ (all_52_14 = e3)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) all_54_11 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4079), (4080) are inconsistent by
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1277.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4081) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) all_54_11 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3966), (4082) are inconsistent by
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) all_54_11 = e1 | all_54_11 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4083) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) all_54_11 = e1
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3645), (4084) are inconsistent by
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) all_54_11 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4085) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) all_52_14 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4086) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_52_14 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4087) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) ~ (all_52_2 = e0)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) all_54_8 = e3
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3693), (4089) are inconsistent by
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4090) gives:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) all_54_8 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4091) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) all_52_2 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4092) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_52_2 = e2
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4093) imply:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) ~ (all_52_3 = e2)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4094) implies:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) ~ (all_52_3 = e2)
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (192), (249), (3640), (3922), (4067),
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068), (4095), (function-axioms) are inconsistent
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #984.
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_54_8 = e1 | all_54_8 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3680), (4088), (4096) are inconsistent by
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1365.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (3730), (4075), (4097) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3724), (3732), (4098) are inconsistent by
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1107.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (3716), (3717), (4099),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #947.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_54_3 = e1 | all_54_3 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3643), (3948), (4100) are inconsistent by
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3918), (4101) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1121.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4102) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4103) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) op(e1, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4104), (function-axioms) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4105) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) all_56_14 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666), (3675), (3696), (3918), (4106),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #945.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3642), (3725), (3728), (4107) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | (4108) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | (4109) all_56_8 = e2 & op(e1, e1) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4109) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | (4110) op(e1, e1) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4110), (function-axioms) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_56_14 = e2 & op(e0, e1) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4111) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_56_14 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | (4113) op(e0, e1) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_54_14 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (4114) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | (4115) all_52_11 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4115) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_52_11 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4116) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | (4117) op(e0, e1) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) all_54_5 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4118) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) all_4_2 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4119) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) $false
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4120) is inconsistent.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4122) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_56_4 = e0 & op(e3, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4123) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_56_4 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4125) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) all_56_12 = e3 & op(e0, e3) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4126) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_56_12 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (229), (230),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (3666), (3671), (3675), (3696),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112), (4127), (function-axioms) are inconsistent
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #972.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_56_13 = e3 & op(e0, e2) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4128) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) all_56_13 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_54_2 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4130) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_52_8 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (4131) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) $false
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4132) is inconsistent.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) ~ (all_54_2 = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_54_2 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4135) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_52_8 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (4136) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) $false
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4137) is inconsistent.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) ~ (all_54_2 = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_54_2 = e1 | all_54_2 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4139) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_54_2 = e1
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4140) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_52_8 = e1
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (4141) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) $false
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4142) is inconsistent.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) all_54_2 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4143) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_52_8 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4144) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) ~ (all_52_12 = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4145) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) ~ (all_52_12 = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (4144) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) ~ (e3 = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (4144) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) ~ (e2 = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (4144) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) ~ (e1 = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_54_3 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4150) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_52_12 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (4151) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) $false
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4152) is inconsistent.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) ~ (all_54_3 = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4155) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) all_56_4 = e3 & op(e3, e1) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4156) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_56_4 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (4157), (function-axioms) are inconsistent
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #977.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) all_56_5 = e3 & op(e2, e1) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4158) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_56_5 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4154) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_54_3 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4160) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_52_12 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4161) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) ~ (all_52_14 = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4162) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) ~ (all_52_14 = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (4161) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) ~ (e3 = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) all_56_15 = e0 & op(e0, e0) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4165) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) op(e0, e0) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4166), (function-axioms) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4167) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4168) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_56_12 = e0 & op(e0, e3) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4169) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_56_12 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3671), (3696), (4171),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #975.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4172) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_56_6 = e2 & op(e1, e3) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4173) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) all_56_6 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (221), (223),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (3666), (3671), (3675), (3696),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112), (4124), (4159), (4175), (function-axioms)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #943.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4176) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_56_11 = e3 & op(e1, e0) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4177) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) all_56_11 = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4179) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_56_6 = e0 & op(e1, e3) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4174), (4180) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1601.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_56_7 = e0 & op(e1, e2) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4181) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) all_56_7 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) all_56_1 = e2 & op(e3, e2) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3675), (4184) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1105.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_56_3 = e2 & op(e2, e2) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4185) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_56_3 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4187) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_56_2 = e0 & op(e2, e3) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4188) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_56_2 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3671), (4189) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1713.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_56_3 = e0 & op(e2, e2) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4190) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_56_3 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4186), (4191) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) e2 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4192) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) $false
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4193) is inconsistent.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4194) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4195) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_56_5 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666), (3675), (3696), (4112), (4196),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_56_10 = e0 & op(e2, e0) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4197) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) op(e2, e0) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3649) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_16_1 & $i(all_16_0) &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4199) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) op(e0, e1) = all_16_1
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (110), (141), (164), (193), (196), (197),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (230), (234), (250), (259), (260), (268),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309), (360), (3638), (3644), (3645), (3666),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668), (3675), (3680), (3693), (3696), (3730),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732), (4112), (4113), (4117), (4121), (4159),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163), (4198), (4200), (function-axioms) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #940.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4201) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) op(e0, e1) = all_16_1
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (110), (141), (164), (193), (196), (197),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (230), (234), (250), (259), (260), (268),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309), (360), (3638), (3644), (3645), (3666),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668), (3675), (3680), (3693), (3696), (3730),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732), (4112), (4113), (4117), (4121), (4159),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163), (4198), (4202), (function-axioms) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #940.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4203) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) all_56_7 = e2 & op(e1, e2) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4204) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_56_7 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4182), (4205) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1868.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_56_13 = e2 & op(e0, e2) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4206) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) all_56_13 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4129), (4207) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) e3 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4178), (4208) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_56_11 = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (221), (223),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (3666), (3671), (3675), (3696),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112), (4124), (4159), (4210), (function-axioms)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #943.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3646), (4176), (4209),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1084.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4211) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4212) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) op(e1, e1) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4213), (function-axioms) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_56_11 = e0 & op(e1, e0) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4214) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_56_11 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4178), (4215) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) e3 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4216) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) e3 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4159), (4217) imply:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) all_56_5 = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666), (3675), (3696), (4112), (4218),
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4219) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) op(e0, e0) = e3
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4220), (function-axioms) are
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) all_56_12 = e2 & op(e0, e3) = e2
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4170), (4221) are inconsistent by sub-proof
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4222) gives:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_56_13 = e0 & op(e0, e2) = e0
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4223) implies:
% 187.52/28.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) all_56_13 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4129), (4224) imply:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) e3 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4225) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) e3 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4159), (4226) imply:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) all_56_5 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666), (3675), (3696), (4112), (4227),
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4228) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_56_14 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4112), (4229) are inconsistent by sub-proof
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1695.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_54_3 = e1 | all_54_3 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3643), (4146), (4230) are inconsistent by
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3666), (4112), (4231),
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #974.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4232) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4112), (4233) are inconsistent by sub-proof
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1698.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4234) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) op(e0, e0) = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4235), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4236) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_56_5 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666), (3675), (3696), (4112), (4237),
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4238) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4239) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) op(e1, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4240), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4241) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) all_56_14 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4112), (4242) are inconsistent by sub-proof
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1695.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4243) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_54_14 = e2
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3728), (4244) are inconsistent by
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_54_14 = e1 | all_54_14 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3642), (3725), (4245) are inconsistent by
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1737.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | (4246) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4247) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4247) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4248) op(e3, e0) = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (4248) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4249) all_52_12 = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (4249) imply:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4250) $false
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4250) is inconsistent.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4251) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4251) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4252) op(e3, e0) = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3695), (4252), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | (4253) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4253) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | (4254) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3696), (4254), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | (4255) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4255) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | (4256) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4256) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | (4257) op(e1, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4257), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | (4258) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4258) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4259) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4259) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4260) op(e1, e0) = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4260), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4261) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4261) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (4262) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (3666), (3668),
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | (3696), (4262), (function-axioms) are inconsistent
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1953.
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | (4263) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3689), (4263) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4264) all_56_3 = e1 & op(e2, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | ALPHA: (4264) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4265) op(e2, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3668), (4265), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | (4266) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 187.52/28.62 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | BETA: splitting (4266) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4267) all_56_7 = e1 & op(e1, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | ALPHA: (4267) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4268) op(e1, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 187.52/28.62 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4268) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4269) all_52_6 = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | REDUCE: (3662), (4269) imply:
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4270) $false
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | CLOSE: (4270) is inconsistent.
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4271) all_56_13 = e1 & op(e0, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | ALPHA: (4271) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4272) op(e0, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 187.52/28.62 | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (4272) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4273) all_52_7 = e1
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | REDUCE: (3641), (4273) imply:
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4274) $false
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | CLOSE: (4274) is inconsistent.
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | (4275) all_56_3 = e1 & op(e2, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | ALPHA: (4275) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | (4276) op(e2, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | REF_CLOSE: (36), (3668), (4276), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | (4277) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 187.52/28.62 | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 187.52/28.62 | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (3644), (3664), (4277),
% 187.52/28.62 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.52/28.62 | | | | | | | | | | | | | | #939.
% 187.52/28.62 | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | (4278) all_24_2 = e1
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | COMBINE_EQS: (318), (4278) imply:
% 187.52/28.62 | | | | | | | | | | | | | (4279) all_4_2 = e1
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | SIMP: (4279) implies:
% 187.52/28.62 | | | | | | | | | | | | | (4280) all_4_2 = e1
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | REDUCE: (352), (4280) imply:
% 187.52/28.62 | | | | | | | | | | | | | (4281) ~ (all_52_4 = e1)
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | REDUCE: (373), (4280) imply:
% 187.52/28.62 | | | | | | | | | | | | | (4282) ~ (e3 = e1)
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | REDUCE: (36), (4280) imply:
% 187.52/28.62 | | | | | | | | | | | | | (4283) op(e2, e2) = e1
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | BETA: splitting (232) gives:
% 187.52/28.62 | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | (4284) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 187.52/28.62 | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 187.52/28.62 | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | BETA: splitting (4284) gives:
% 187.52/28.62 | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | (4285) all_56_0 = e1 & op(e3, e3) = e1
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | ALPHA: (4285) implies:
% 187.52/28.62 | | | | | | | | | | | | | | | (4286) op(e3, e3) = e1
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e1,
% 187.52/28.62 | | | | | | | | | | | | | | | e3, e3, simplifying with (39), (4286) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | (4287) all_6_2 = e1
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.52/28.62 | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | (4288) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.52/28.62 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.52/28.62 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.62 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.62 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.62 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.52/28.62 | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.52/28.62 | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.52/28.62 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 187.52/28.62 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.52/28.62 | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.52/28.62 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.52/28.62 | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.52/28.62 | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.52/28.62 | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.52/28.62 | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.52/28.62 | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.52/28.62 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.62 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.62 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | BETA: splitting (4288) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | (4289) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | BETA: splitting (4289) gives:
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | (4290) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (3666), (4290), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #981.
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | (4291) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.62 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.62 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.62 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4283), (4291), (function-axioms) are
% 187.52/28.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #938.
% 187.52/28.62 | | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.62 | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62 | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | (4292) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.52/28.63 | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | $i(all_57_10))
% 187.52/28.63 | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | BETA: splitting (4292) gives:
% 187.52/28.63 | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63 | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | (4293) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 187.52/28.63 | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (3666), (4293), (function-axioms) are
% 187.52/28.63 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #979.
% 187.52/28.63 | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63 | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | (4294) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.63 | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | BETA: splitting (4294) gives:
% 187.52/28.63 | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | (4295) all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 187.52/28.63 | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | ALPHA: (4295) implies:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | (4296) op(e3, e3) = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4286), (4296), (function-axioms) are
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 187.52/28.63 | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | (4297) (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (4297) gives:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (4298) all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | ALPHA: (4298) implies:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (4299) op(e0, e0) = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4299), (function-axioms) are
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (4300) all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | ALPHA: (4300) implies:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (4301) all_57_6 = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (4302) ~ (all_57_10 = e1)
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (4303) ~ (all_57_7 = e2)
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | (4304) op(e3, e3) = all_57_10
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (4305) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4305) gives:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | (4306) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4306) gives:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | (4307) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4307) gives:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4308) implies:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_57_10 = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4304), (4309) imply:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4310) op(e3, e3) = e2
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4286), (4310), (function-axioms) are
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4311) implies:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4312) op(e2, e2) = e3
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4283), (4312), (function-axioms) are
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (4313) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4302), (4313), (function-axioms) are
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #937.
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (4314) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4314) gives:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (4315) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4315) gives:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4316) implies:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_57_10 = e0
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4302), (4317) imply:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4318) ~ (e1 = e0)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4304), (4317) imply:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4319) op(e3, e3) = e0
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4286), (4319), (function-axioms) are
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4320) implies:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4321) op(e0, e0) = e3
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4321), (function-axioms) are
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (4322) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4322) gives:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4323) implies:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_57_7 = e2
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4303), (4324) imply:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4325) $false
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4325) is inconsistent.
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4326) implies:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | (4327) op(e1, e1) = e2
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4327), (function-axioms) are
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (4328) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4328) gives:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (4329) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4329) gives:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (4330) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4283), (4330),
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | | #936.
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (4331) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4331) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4332) implies:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4333) op(e1, e1) = e0
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4333), (function-axioms) are
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4334) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4334) implies:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4335) (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4301), (4302), (4335) are inconsistent by
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #935.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (4336) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4336) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (4337) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4337) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4338) implies:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_57_10 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4304), (4339) imply:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4340) op(e3, e3) = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4286), (4340), (function-axioms) are
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4341) implies:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | (4342) op(e2, e2) = e2
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4283), (4342), (function-axioms) are
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (4343) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4301), (4302), (4343),
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | #934.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | (4344) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.80/28.64 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.80/28.64 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.80/28.64 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.80/28.64 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.80/28.64 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.80/28.64 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.80/28.64 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.80/28.64 | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 187.80/28.64 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.80/28.64 | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.80/28.64 | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.80/28.64 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.80/28.64 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 187.80/28.64 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.80/28.64 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.80/28.64 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.80/28.64 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.80/28.64 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.80/28.64 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.80/28.64 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.80/28.64 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.80/28.64 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.80/28.64 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.80/28.64 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.80/28.64 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.80/28.64 | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | BETA: splitting (4344) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | (4345) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.80/28.64 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.80/28.64 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.80/28.64 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.80/28.64 | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | BETA: splitting (4345) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | (4346) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.80/28.64 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 187.80/28.64 | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | BETA: splitting (4346) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | (4347) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | ALPHA: (4347) implies:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | (4348) all_57_6 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | (4349) ~ (all_57_10 = e1)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (4350) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4350) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (4351) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4351) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (4352) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4352),
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | #1185.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (4353) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4349), (4353), (function-axioms) are
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #937.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (4354) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4354) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (4355) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (4286), (4355),
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | #933.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (4356) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4356) gives:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (4357) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4357) implies:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (4358) (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4348), (4349), (4358) are inconsistent by
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #935.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (4359) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4359) implies:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | (4360) op(e1, e1) = e2
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4360), (function-axioms) are
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (4361) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4361) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (4362) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4362) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4363) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4283), (4363),
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | #936.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4364) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4364) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4365) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4365) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4366) op(e1, e1) = e0
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4366), (function-axioms) are
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4367) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4367) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4368) (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4348), (4349), (4368) are inconsistent by
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #935.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (4369) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4369) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4370) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4370),
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | #1134.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4371) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4348), (4349), (4371),
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | #934.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | (4372) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | ALPHA: (4372) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | (4373) all_57_10 = e1
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | (4374) all_57_7 = e2
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | (4375) ~ (all_57_12 = e1)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | (4376) ~ (all_57_6 = e3)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | (4377) op(e2, e2) = all_57_12
% 187.80/28.65 | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (4378) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4378) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (4379) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4379) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4380) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4380) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4381) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4381) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4382) all_57_10 = e2
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4373), (4382) imply:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4383) e2 = e1
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4383) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4384) e2 = e1
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4384) imply:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4385) $false
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4385) is inconsistent.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4386) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4386) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4387) all_57_12 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4377), (4387) imply:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4388) op(e2, e2) = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4283), (4388), (function-axioms) are
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4389) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4389) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4390) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4390) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4391) (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4374), (4375), (4391) are inconsistent by
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1892.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4392) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4392) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4393) all_57_6 = e1
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4394) op(e1, e1) = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4394), (function-axioms) are
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (4395) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4395) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4396) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4396) gives:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4397) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4397) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4398) all_57_10 = e0
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4373), (4398) imply:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4399) e1 = e0
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4399) imply:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4400) $false
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4400) is inconsistent.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4401) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4401) implies:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | (4402) op(e0, e0) = e3
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4402), (function-axioms) are
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (4403) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4403) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4404) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4404) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4405) all_57_12 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4375), (4405) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4406) $false
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4406) is inconsistent.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4407) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4407) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4408) all_57_7 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4374), (4408) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4409) e2 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4409) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4410) $false
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4410) is inconsistent.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (4411) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4411) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (4412) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4412) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (4413) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4413) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4414) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4414) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4415) all_57_12 = e0
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4375), (4415) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4416) ~ (e1 = e0)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4377), (4415) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4417) op(e2, e2) = e0
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4283), (4417), (function-axioms) are
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4418) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4418) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4419) op(e0, e0) = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4419), (function-axioms) are
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (4420) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4420) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4421) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4421) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4422) op(e1, e0) = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4422), (function-axioms) are
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4423) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4423) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4424) (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4374), (4375), (4424) are inconsistent by
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1892.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (4425) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4425) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (4426) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4426) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4427) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4427) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4428) all_57_10 = e3
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4373), (4428) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4429) e3 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4429) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4430) e3 = e1
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4430) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4431) $false
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4431) is inconsistent.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4432) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4432) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4433) all_57_12 = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4377), (4433) imply:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4434) op(e2, e2) = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4283), (4434), (function-axioms) are
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (4435) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4435) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4436) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4436) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4437) (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4374), (4375), (4437) are inconsistent by
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1892.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4438) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4438) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | (4439) op(e0, e0) = e0
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4439), (function-axioms) are
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66 | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66 | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | (4440) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.80/28.66 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.80/28.66 | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.80/28.66 | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | BETA: splitting (4440) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | (4441) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | ALPHA: (4441) implies:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | (4442) all_57_7 = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | (4443) ~ (all_57_12 = e1)
% 187.80/28.66 | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (4444) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4444) gives:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (4445) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4445) gives:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (4446) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4446),
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | #1185.
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (4447) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4447) gives:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4448) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4448) implies:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4449) (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4442), (4443), (4449) are inconsistent by
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1892.
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4450) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4450) implies:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4451) op(e1, e1) = e3
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4451), (function-axioms) are
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (4452) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (4453) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (4286), (4453),
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | #933.
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (4454) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4454) gives:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4455) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4455) implies:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4456) all_57_12 = e1
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4443), (4456) imply:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4457) $false
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4457) is inconsistent.
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4458) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4458) implies:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | (4459) op(e1, e1) = e2
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4459), (function-axioms) are
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (4460) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4460) gives:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (4461) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4461) gives:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (4462) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4283), (4462),
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | | #936.
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (4463) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4442), (4443), (4463),
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | #948.
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (4464) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4464) gives:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (4465) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4465),
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | #1134.
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (4466) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4442), (4443), (4466),
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | | #947.
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | (4467) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4283), (4467), (function-axioms) are
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1676.
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67 | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67 | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67 | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | (4468) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.67 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.67 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.67 | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.67 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 187.92/28.67 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.67 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.67 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.67 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.67 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.67 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.67 | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | BETA: splitting (4468) gives:
% 187.92/28.67 | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67 | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | (4469) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.67 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.67 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 187.92/28.67 | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4286), (4469), (function-axioms) are
% 187.92/28.67 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 187.92/28.67 | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67 | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | (4470) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.67 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.67 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.67 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.67 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.67 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.67 | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | BETA: splitting (4470) gives:
% 187.92/28.67 | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | (4471) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | ALPHA: (4471) implies:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | (4472) op(e1, e1) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4472), (function-axioms) are
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | (4473) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (4473) gives:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | |
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (4474) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (4474) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (4475) op(e1, e0) = e1
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4475), (function-axioms) are
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (4476) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (4476) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (4477) op(e0, e0) = all_57_15
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (4478) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (3646), (4477)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | gives:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | (4479) all_57_15 = e1
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4478) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | (4480) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4480) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | (4481) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4481) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | (4482) op(e2, e2) = e3
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4283), (4482), (function-axioms) are
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | (4483) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3666), (4286), (4483),
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | #1079.
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | (4484) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4484) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | (4485) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4485) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | (4486) op(e1, e1) = e2
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4486), (function-axioms) are
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | (4487) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4487) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | (4488) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4488) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | (4489) ~ (all_57_15 = e1)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4479), (4489) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | (4490) $false
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4490) is inconsistent.
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | (4491) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4491) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | (4492) ~ (all_57_15 = e1)
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4479), (4492) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | (4493) $false
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4493) is inconsistent.
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | (4494) all_56_1 = e1 & op(e3, e2) = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | ALPHA: (4494) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | (4495) op(e3, e2) = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | REF_CLOSE: (170), (4281), (4495), (function-axioms) are
% 187.92/28.68 | | | | | | | | | | | | | | | inconsistent by sub-proof #1910.
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | (4496) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 187.92/28.68 | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | BETA: splitting (4496) gives:
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | (4497) all_56_4 = e1 & op(e3, e1) = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | ALPHA: (4497) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | (4498) op(e3, e1) = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 187.92/28.68 | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4498) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | (4499) all_52_8 = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | REDUCE: (3663), (4499) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | (4500) $false
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | CLOSE: (4500) is inconsistent.
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | (4501) all_56_9 = e1 & op(e3, e0) = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | ALPHA: (4501) implies:
% 187.92/28.68 | | | | | | | | | | | | | | | (4502) op(e3, e0) = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 187.92/28.68 | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (4502) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | (4503) all_52_12 = e1
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | REDUCE: (3643), (4503) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | (4504) $false
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | CLOSE: (4504) is inconsistent.
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | (4505) all_54_10 = e0
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | REF_CLOSE: (336), (3653), (4505) are inconsistent by
% 187.92/28.68 | | | | | | | | | | | | sub-proof #932.
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | (4506) all_22_2 = e0
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | COMBINE_EQS: (251), (4506) imply:
% 187.92/28.68 | | | | | | | | | (4507) all_10_2 = e0
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | SIMP: (4507) implies:
% 187.92/28.68 | | | | | | | | | (4508) all_10_2 = e0
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | REDUCE: (363), (4508) imply:
% 187.92/28.68 | | | | | | | | | (4509) ~ (all_52_8 = e0)
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | REDUCE: (364), (4508) imply:
% 187.92/28.68 | | | | | | | | | (4510) ~ (all_52_9 = e0)
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | REDUCE: (366), (4508) imply:
% 187.92/28.68 | | | | | | | | | (4511) ~ (all_52_11 = e0)
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | REDUCE: (368), (4508) imply:
% 187.92/28.68 | | | | | | | | | (4512) ~ (all_52_14 = e0)
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | REDUCE: (3651), (4508) imply:
% 187.92/28.68 | | | | | | | | | (4513) ~ (e3 = e0)
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | REDUCE: (375), (4508) imply:
% 187.92/28.68 | | | | | | | | | (4514) ~ (e2 = e0)
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | REDUCE: (45), (4508) imply:
% 187.92/28.68 | | | | | | | | | (4515) op(e1, e1) = e0
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | BETA: splitting (67) gives:
% 187.92/28.68 | | | | | | | | |
% 187.92/28.68 | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | (4516) ~ (all_24_2 = e1)
% 187.92/28.68 | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | REDUCE: (318), (4516) imply:
% 187.92/28.68 | | | | | | | | | | (4517) ~ (all_4_2 = e1)
% 187.92/28.68 | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | BETA: splitting (70) gives:
% 187.92/28.68 | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | (4518) ~ (all_26_2 = e1)
% 187.92/28.68 | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | REDUCE: (307), (4518) imply:
% 187.92/28.68 | | | | | | | | | | | (4519) ~ (all_6_2 = e1)
% 187.92/28.68 | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | BETA: splitting (204) gives:
% 187.92/28.68 | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | (4520) all_54_0 = e3
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | COMBINE_EQS: (279), (4520) imply:
% 187.92/28.68 | | | | | | | | | | | | (4521) all_6_2 = e3
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | SIMP: (4521) implies:
% 187.92/28.68 | | | | | | | | | | | | (4522) all_6_2 = e3
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | REDUCE: (346), (4522) imply:
% 187.92/28.68 | | | | | | | | | | | | (4523) ~ (all_52_8 = e3)
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | REDUCE: (348), (4522) imply:
% 187.92/28.68 | | | | | | | | | | | | (4524) ~ (all_52_12 = e3)
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | REDUCE: (39), (4522) imply:
% 187.92/28.68 | | | | | | | | | | | | (4525) op(e3, e3) = e3
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | BETA: splitting (79) gives:
% 187.92/28.68 | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | (4526) ~ (all_32_2 = e0)
% 187.92/28.68 | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | REDUCE: (314), (4526) imply:
% 187.92/28.68 | | | | | | | | | | | | | (4527) ~ (all_4_2 = e0)
% 187.92/28.68 | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.92/28.68 | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | (4528) all_54_5 = e3
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | COMBINE_EQS: (268), (4528) imply:
% 187.92/28.68 | | | | | | | | | | | | | | (4529) all_4_2 = e3
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | REDUCE: (373), (4529) imply:
% 187.92/28.68 | | | | | | | | | | | | | | (4530) $false
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | CLOSE: (4530) is inconsistent.
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | (4531) ~ (all_54_5 = e3)
% 187.92/28.68 | | | | | | | | | | | | | | (4532) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | BETA: splitting (4532) gives:
% 187.92/28.68 | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | (4533) all_54_5 = e2
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4533) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | (4534) all_4_2 = e2
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | REDUCE: (358), (4534) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | (4535) ~ (all_52_9 = e2)
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | REDUCE: (360), (4534) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | (4536) ~ (all_52_13 = e2)
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | REDUCE: (373), (4534) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | (4537) ~ (e3 = e2)
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | REDUCE: (36), (4534) imply:
% 187.92/28.68 | | | | | | | | | | | | | | | (4538) op(e2, e2) = e2
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.68 | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | (4539) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.68 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.68 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.68 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.68 | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.68 | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.68 | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.68 | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.68 | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.68 | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | BETA: splitting (4539) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | (4540) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.68 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (373), (3646), (4515), (4540),
% 187.92/28.68 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.68 | | | | | | | | | | | | | | | | | #931.
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | (4541) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.68 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.68 | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.68 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | $i(all_57_10))
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | BETA: splitting (4541) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (4542) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.68 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 187.92/28.68 | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4542),
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.68 | | | | | | | | | | | | | | | | | | #930.
% 187.92/28.68 | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (4543) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.92/28.68 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.92/28.68 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.68 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.68 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.68 | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3646), (4525), (4538), (4543),
% 187.92/28.68 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.68 | | | | | | | | | | | | | | | | | | #928.
% 187.92/28.68 | | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | End of split
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | (4544) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.68 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.68 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.68 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.68 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.68 | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.68 | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.68 | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.68 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 187.92/28.68 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.68 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.68 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.68 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.68 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.68 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.68 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.68 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.68 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.68 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.68 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.68 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.68 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | BETA: splitting (4544) gives:
% 187.92/28.68 | | | | | | | | | | | | | | | |
% 187.92/28.68 | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | (4545) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.69 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.69 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.69 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | BETA: splitting (4545) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (4546) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (4523), (4525), (4546),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | #1351.
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (4547) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | BETA: splitting (4547) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4548) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | ALPHA: (4548) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4549) op(e2, e1) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4549) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4550) all_52_9 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | REDUCE: (4535), (4550) imply:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4551) $false
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | CLOSE: (4551) is inconsistent.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4552) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4552), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | (4553) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.69 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.69 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 187.92/28.69 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.69 | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.69 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 187.92/28.69 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.69 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.69 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.69 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.69 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.69 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | BETA: splitting (4553) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (4554) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.69 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4554), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (4555) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.69 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.69 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.69 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | BETA: splitting (4555) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4556) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | ALPHA: (4556) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4557) op(e2, e0) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (4557) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4558) all_52_13 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | REDUCE: (4536), (4558) imply:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4559) $false
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | CLOSE: (4559) is inconsistent.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4560) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (157), (160), (373),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (3645), (4511), (4515), (4525), (4560),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | #927.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | (4561) all_54_5 = e1 | all_54_5 = e0
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | REF_CLOSE: (268), (4517), (4527), (4561) are inconsistent by
% 187.92/28.69 | | | | | | | | | | | | | | | sub-proof #1941.
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | (4562) all_32_2 = e0
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | COMBINE_EQS: (314), (4562) imply:
% 187.92/28.69 | | | | | | | | | | | | | (4563) all_4_2 = e0
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | COMBINE_EQS: (309), (4563) imply:
% 187.92/28.69 | | | | | | | | | | | | | (4564) all_36_2 = e0
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | REDUCE: (4517), (4563) imply:
% 187.92/28.69 | | | | | | | | | | | | | (4565) ~ (e1 = e0)
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | REDUCE: (36), (4563) imply:
% 187.92/28.69 | | | | | | | | | | | | | (4566) op(e2, e2) = e0
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | BETA: splitting (229) gives:
% 187.92/28.69 | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | (4567) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 187.92/28.69 | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 187.92/28.69 | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | BETA: splitting (4567) gives:
% 187.92/28.69 | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | (4568) all_56_0 = e0 & op(e3, e3) = e0
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | ALPHA: (4568) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | (4569) op(e3, e3) = e0
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4569), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | (4570) all_56_2 = e0 & op(e2, e3) = e0
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | ALPHA: (4570) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | (4571) all_56_2 = e0
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 187.92/28.69 | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | (4572) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 187.92/28.69 | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4566), (4571), (4572), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1712.
% 187.92/28.69 | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | (4573) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 187.92/28.69 | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 187.92/28.69 | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | BETA: splitting (4573) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | (4574) all_56_5 = e1 & op(e2, e1) = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | ALPHA: (4574) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | (4575) all_56_5 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | (4576) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | BETA: splitting (4576) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4577) all_56_2 = e2 & op(e2, e3) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | ALPHA: (4577) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4578) all_56_2 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4571), (4578) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | #1715.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4579) all_56_3 = e2 & op(e2, e2) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | ALPHA: (4579) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4580) all_56_3 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | (4581) op(e2, e2) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | (4582) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4582) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4583) all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4583) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4584) op(e3, e3) = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4584), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4585) all_56_2 = e1 & op(e2, e3) = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4585) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4586) all_56_2 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4571), (4586) imply:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4587) e1 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | SIMP: (4587) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4588) e1 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4575), (4588) imply:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4589) all_56_5 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4515), (4589), (function-axioms) are inconsistent
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | (4590) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4590) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4591) all_56_6 = e1 & op(e1, e3) = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4591) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4592) all_56_6 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | (4593) op(e1, e3) = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | (4594) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4525), (4571), (4594),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | #1603.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | (4595) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4595) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | (4596) all_56_6 = e2 & op(e1, e3) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4596) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | (4597) all_56_6 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4592), (4597) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | #1779.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | (4598) all_56_12 = e2 & op(e0, e3) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4598) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | (4599) all_56_12 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | (4600) all_56_15 = e0 & op(e0, e0) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4600) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | (4601) op(e0, e0) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4601), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | (4602) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4602) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | (4603) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4603) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_56_12 = e0 & op(e0, e3) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4604) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_56_12 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4599), (4605) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | #1852.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | (4606) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4606) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_56_13 = e0 & op(e0, e2) = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4607) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) all_56_13 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4609) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_56_12 = e3 & op(e0, e3) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4610) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_56_12 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4599), (4611) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1354.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_56_13 = e3 & op(e0, e2) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4612) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) all_56_13 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4608), (4613) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4614) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_56_14 = e3 & op(e0, e1) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4615) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_56_14 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_56_1 = e3 & op(e3, e2) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4618) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) all_56_1 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (168), (219), (232), (3643),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515), (4525), (4575), (4616), (4619),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1400.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_56_3 = e3 & op(e2, e2) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4620) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) op(e2, e2) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4621), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4622) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_56_7 = e3 & op(e1, e2) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4623) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_56_7 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4625) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_56_4 = e2 & op(e3, e1) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4626) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) all_56_4 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (4592), (4624), (4628) are inconsistent
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1778.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4629) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) all_56_8 = e2 & op(e1, e1) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4630) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) op(e1, e1) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4515), (4631), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_56_11 = e2 & op(e1, e0) = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4632) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_56_11 = e2
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4634) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_56_2 = e3 & op(e2, e3) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4635) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_56_2 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4571), (4636) imply:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) e3 = e0
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (4515), (4592), (4624),
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633), (4637), (function-axioms) are inconsistent
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #926.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_56_3 = e3 & op(e2, e2) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) op(e2, e2) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4639), (function-axioms) are
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4640) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_56_5 = e3 & op(e2, e1) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4641) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_56_5 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4575), (4642) imply:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) e3 = e1
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4643) imply:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) $false
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4644) is inconsistent.
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_56_10 = e3 & op(e2, e0) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4645) implies:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_56_10 = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) op(e2, e0) = e3
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4648) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4649) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4650) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4651) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) ~ (all_57_1 = e1)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) op(e1, e3) = all_57_1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4593), (4652), (4653), (function-axioms) are
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4654) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) op(e2, e2) = all_57_12
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (216), (218), (219),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (4515), (4566), (4575), (4580),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581), (4592), (4624), (4627), (4633), (4646),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655), (function-axioms) are inconsistent by
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #924.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (3646), (4656),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #980.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4657) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4658),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #930.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3646), (4525), (4581), (4659),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4660) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4661) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (4523), (4525), (4662),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1351.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4663) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4664) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) op(e2, e2) = all_57_12
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (216), (218), (219),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (4515), (4566), (4575), (4580),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581), (4592), (4624), (4627), (4633), (4646),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665), (function-axioms) are inconsistent by
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #924.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4666), (function-axioms) are
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4667) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4668), (function-axioms) are
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4669) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4670) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) op(e2, e0) = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (85), (4564), (4647), (4671),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1706.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4672) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4673) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) op(e1, e0) = e1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4674), (function-axioms) are
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4675) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4676) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4677) gives:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4678) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) op(e2, e2) = e3
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4679), (function-axioms) are
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4525), (4593), (4680), (function-axioms) are
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #923.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (157), (4511), (4515), (4525),
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676), (4681), (function-axioms) are inconsistent
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1631.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) all_56_5 = e2 & op(e2, e1) = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4682) implies:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_56_5 = e2
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4575), (4683) are inconsistent by sub-proof
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4515), (4616), (4684),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1819.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) all_56_13 = e3 & op(e0, e2) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4685) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_56_13 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4608), (4686) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_56_15 = e3 & op(e0, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4687) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) op(e0, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4688), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_56_14 = e0 & op(e0, e1) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4689) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) op(e0, e1) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4511), (4690), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | (4691) all_56_12 = e1 & op(e0, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4691) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | (4692) op(e0, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3640), (4692), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | (4693) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (36), (85), (224), (373),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | (4564), (4571), (4575), (4693), (function-axioms)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1704.
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | (4694) all_56_10 = e1 & op(e2, e0) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | ALPHA: (4694) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | (4695) op(e2, e0) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3644), (4695), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | (4696) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 187.92/28.71 | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 187.92/28.71 | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | BETA: splitting (4696) gives:
% 187.92/28.71 | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | (4697) all_56_6 = e0 & op(e1, e3) = e0
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | ALPHA: (4697) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | (4698) all_56_6 = e0
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 187.92/28.71 | | | | | | | | | | | | | | | (216), (3645), (4515), (4698), (function-axioms)
% 187.92/28.71 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1527.
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | (4699) all_56_12 = e0 & op(e0, e3) = e0
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | ALPHA: (4699) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | (4700) all_56_12 = e0
% 187.92/28.71 | | | | | | | | | | | | | | | (4701) op(e0, e3) = e0
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 187.92/28.71 | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | (4702) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 187.92/28.71 | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | BETA: splitting (4702) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | (4703) all_56_0 = e0 & op(e3, e3) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | ALPHA: (4703) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | (4704) op(e3, e3) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4704), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | (4705) all_56_1 = e0 & op(e3, e2) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | ALPHA: (4705) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | (4706) all_56_1 = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | (4707) all_56_15 = e0 & op(e0, e0) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | ALPHA: (4707) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | (4708) op(e0, e0) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4708), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | (4709) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 187.92/28.71 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | ALPHA: (4709) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | (4710) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 187.92/28.71 | | | | | | | | | | | | | | | | | | e0) = e0)
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | BETA: splitting (4710) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (4711) all_56_9 = e0 & op(e3, e0) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (112),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (113), (117), (120), (123), (134), (157), (160),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (164), (165), (168), (169), (170), (197), (202),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (211), (212), (218), (219), (220), (221), (222),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (223), (229), (232), (233), (238), (239), (260),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (271), (373), (3642), (3643), (3644), (3645),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (3646), (4510), (4511), (4512), (4515), (4523),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (4524), (4525), (4564), (4566), (4700), (4701),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (4711), (function-axioms) are inconsistent by
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | (4712) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (4712) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | (4713) all_56_10 = e0 & op(e2, e0) = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | ALPHA: (4713) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | (4714) all_56_10 = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | (4715) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4566), (4706), (4715), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1309.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | (4716) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4716) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | (4717) all_56_7 = e1 & op(e1, e2) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4717) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | (4718) all_56_7 = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | (4719) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4719) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4720) all_56_6 = e3 & op(e1, e3) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4720) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4721) all_56_6 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4722) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4722) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4723) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) op(e3, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4724), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) all_56_2 = e1 & op(e2, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4725) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) all_56_2 = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4727) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_56_9 = e3 & op(e3, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) op(e3, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4729), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) all_56_10 = e3 & op(e2, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4730) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_56_10 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4714), (4731) imply:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) e3 = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4732) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) e3 = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4721), (4733) imply:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) all_56_6 = e0
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (4525), (4700), (4726),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734), (function-axioms) are inconsistent by
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1014.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4735) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_56_11 = e3 & op(e1, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4736) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) all_56_11 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4738) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_56_6 = e2 & op(e1, e3) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4721), (4739) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1853.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_56_7 = e2 & op(e1, e2) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4718), (4740) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4515), (4737), (4741),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #907.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_56_15 = e3 & op(e0, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4742) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) op(e0, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4743), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4744) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4744) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_56_6 = e1 & op(e1, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4721), (4745) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | #1569.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_56_12 = e1 & op(e0, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4746) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) op(e0, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3640), (4747), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_56_7 = e3 & op(e1, e2) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4748) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_56_7 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4718), (4749) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | #1907.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | (4750) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4750) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4751) all_56_8 = e3 & op(e1, e1) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4751) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4752) op(e1, e1) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4752), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_56_11 = e3 & op(e1, e0) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4753) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | (4754) all_56_11 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4755) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4755) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) all_56_6 = e2 & op(e1, e3) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4756) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_56_6 = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4758) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4759) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) op(e3, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4760), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) all_56_2 = e1 & op(e2, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4761) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) all_56_2 = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4763) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_56_2 = e2 & op(e2, e3) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4764) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) all_56_2 = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4758) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4766) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) op(e3, e3) = e1
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4767), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4762), (4765) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1855.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (3640), (4757), (4768),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #906.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) all_56_3 = e2 & op(e2, e2) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4769) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) op(e2, e2) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4566), (4770), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4771) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) all_56_5 = e2 & op(e2, e1) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4772) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) all_56_5 = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) op(e2, e1) = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4775) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4776) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4777) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4778) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) op(e1, e1) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4779), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4780) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) ~ (all_57_2 = e0)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) op(e0, e3) = all_57_2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (4525), (4757), (4762),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781), (4782), (function-axioms) are inconsistent
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1088.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4783) gives:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4784) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) op(e2, e2) = e3
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4785), (function-axioms) are
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) all_57_1 = e1 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4786) implies:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) ~ (all_57_2 = e0)
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) op(e0, e3) = all_57_2
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (4525), (4757), (4762),
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787), (4788), (function-axioms) are inconsistent
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1088.
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4789) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4790),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #930.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (3646), (4525), (4566), (4791),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #921.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4792) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4793) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (4523), (4525), (4794),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1351.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4795) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4796) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) ~ (all_57_12 = e1)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) op(e2, e2) = all_57_12
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4799) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) all_56_2 = e3 & op(e2, e3) = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4800) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) all_56_2 = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4802) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4762), (4801) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1859.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_56_3 = e1 & op(e2, e2) = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4803) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) op(e2, e2) = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4797), (4798), (4804), (function-axioms) are
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1890.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (3644), (4773), (4805),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #918.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_56_3 = e3 & op(e2, e2) = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4806) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) op(e2, e2) = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4807), (function-axioms) are
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4808) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_56_5 = e3 & op(e2, e1) = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4809) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) all_56_5 = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4773), (4810) imply:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) e3 = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4754), (4811) imply:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) all_56_11 = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (212), (221),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (3646), (4524), (4762), (4810), (4812),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1083.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_56_10 = e3 & op(e2, e0) = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4714), (4813) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #905.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4814), (function-axioms) are
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1963.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4815) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4816), (function-axioms) are
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4817) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4818) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) op(e2, e0) = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (4774), (4819),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (157), (160), (373),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645), (4511), (4515), (4525), (4820),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #927.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_56_10 = e2 & op(e2, e0) = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4821) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_56_10 = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4714), (4822) imply:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) e2 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4823) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) e2 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4757), (4824) imply:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_56_6 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (4525), (4700), (4762),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (function-axioms) are inconsistent by
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1014.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (3640), (4757), (4826),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | #904.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_56_7 = e2 & op(e1, e2) = e2
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4718), (4827) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | (4828) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4515), (4754), (4828),
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | | #907.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | (4829) all_56_13 = e1 & op(e0, e2) = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4829) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | (4830) op(e0, e2) = e1
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3641), (4830), (function-axioms) are
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1649.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | (4831) all_56_11 = e0 & op(e1, e0) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | ALPHA: (4831) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | (4832) op(e1, e0) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4512), (4832), (function-axioms) are
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | (4833) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 187.92/28.72 | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | BETA: splitting (4833) gives:
% 187.92/28.72 | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | (4834) all_56_4 = e0 & op(e3, e1) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | ALPHA: (4834) implies:
% 187.92/28.72 | | | | | | | | | | | | | | | | | (4835) all_56_4 = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (4515), (4835), (function-axioms) are inconsistent
% 187.92/28.72 | | | | | | | | | | | | | | | | | by sub-proof #1809.
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | (4836) all_56_9 = e0 & op(e3, e0) = e0
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (112),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (113), (117), (120), (123), (134), (157), (160),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (164), (165), (168), (169), (170), (197), (202),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (211), (212), (218), (219), (220), (221), (222),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (223), (229), (232), (233), (238), (239), (260),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (271), (373), (3642), (3643), (3644), (3645),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (3646), (4510), (4511), (4512), (4515), (4523),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (4524), (4525), (4564), (4566), (4700), (4701),
% 187.92/28.72 | | | | | | | | | | | | | | | | | (4836), (function-axioms) are inconsistent by
% 187.92/28.72 | | | | | | | | | | | | | | | | | sub-proof #909.
% 187.92/28.72 | | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | (4837) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4519), (4837) are
% 187.92/28.72 | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | End of split
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | (4838) all_26_2 = e1
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | COMBINE_EQS: (307), (4838) imply:
% 187.92/28.72 | | | | | | | | | | | (4839) all_6_2 = e1
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | SIMP: (4839) implies:
% 187.92/28.72 | | | | | | | | | | | (4840) all_6_2 = e1
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | REDUCE: (344), (4840) imply:
% 187.92/28.72 | | | | | | | | | | | (4841) ~ (all_52_4 = e1)
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | REDUCE: (346), (4840) imply:
% 187.92/28.72 | | | | | | | | | | | (4842) ~ (all_52_8 = e1)
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | REDUCE: (377), (4840) imply:
% 187.92/28.72 | | | | | | | | | | | (4843) ~ (e2 = e1)
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | REDUCE: (39), (4840) imply:
% 187.92/28.72 | | | | | | | | | | | (4844) op(e3, e3) = e1
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | BETA: splitting (226) gives:
% 187.92/28.72 | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | Case 1:
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | (4845) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 187.92/28.72 | | | | | | | | | | | | & op(e2, e2) = e1)
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | | REF_CLOSE: (36), (170), (4517), (4841), (4845),
% 187.92/28.72 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.72 | | | | | | | | | | | | #1531.
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.72 | | | | | | | | | | | Case 2:
% 187.92/28.72 | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | (4846) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 187.92/28.73 | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 187.92/28.73 | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | BETA: splitting (4846) gives:
% 187.92/28.73 | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | (4847) all_56_7 = e1 & op(e1, e2) = e1
% 187.92/28.73 | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | ALPHA: (4847) implies:
% 187.92/28.73 | | | | | | | | | | | | | (4848) all_56_7 = e1
% 187.92/28.73 | | | | | | | | | | | | | (4849) op(e1, e2) = e1
% 187.92/28.73 | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | BETA: splitting (218) gives:
% 187.92/28.73 | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | (4850) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 187.92/28.73 | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 187.92/28.73 | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | BETA: splitting (4850) gives:
% 187.92/28.73 | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | (4851) all_56_4 = e1 & op(e3, e1) = e1
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | ALPHA: (4851) implies:
% 187.92/28.73 | | | | | | | | | | | | | | | (4852) op(e3, e1) = e1
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | REF_CLOSE: (169), (4842), (4852), (function-axioms) are
% 187.92/28.73 | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | (4853) all_56_5 = e1 & op(e2, e1) = e1
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | ALPHA: (4853) implies:
% 187.92/28.73 | | | | | | | | | | | | | | | (4854) all_56_5 = e1
% 187.92/28.73 | | | | | | | | | | | | | | | (4855) op(e2, e1) = e1
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 187.92/28.73 | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4849) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | (4856) all_52_6 = e1
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 187.92/28.73 | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4855) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | (4857) all_52_9 = e1
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | REDUCE: (126), (4856) imply:
% 187.92/28.73 | | | | | | | | | | | | | | | (4858) ~ (all_52_14 = e1)
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | REDUCE: (118), (4857) imply:
% 187.92/28.73 | | | | | | | | | | | | | | | (4859) ~ (all_52_11 = e1)
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | REDUCE: (358), (4857) imply:
% 187.92/28.73 | | | | | | | | | | | | | | | (4860) ~ (all_4_2 = e1)
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 187.92/28.73 | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | (4861) ~ (all_32_2 = e0)
% 187.92/28.73 | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | REDUCE: (314), (4861) imply:
% 187.92/28.73 | | | | | | | | | | | | | | | | (4862) ~ (all_4_2 = e0)
% 187.92/28.73 | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (4863) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.92/28.73 | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | BETA: splitting (4863) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | (4864) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.92/28.73 | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | BETA: splitting (4864) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | (4865) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (4844), (4865),
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | #1893.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | (4866) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (4866) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | (4867) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (4867) implies:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | (4868) op(e3, e1) = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | (4869) (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | (4870) all_54_5 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (4870) are inconsistent by sub-proof
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | #1948.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | (4871) ~ (all_54_5 = e3)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | (4872) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4872) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | (4873) all_54_5 = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4873) imply:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | (4874) all_4_2 = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4874) implies:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | (4875) all_4_2 = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4875) imply:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | (4876) ~ (all_52_13 = e2)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4875) imply:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | (4877) op(e2, e2) = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (4878) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4878) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (4879) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (373), (3646), (4515), (4879),
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | #931.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (4880) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4844), (4849), (4877), (4880),
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | #902.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (4881) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4881) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (4882) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4882) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (4883) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4844), (4869), (4883), (function-axioms) are
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (4884) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4884) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4885) implies:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_57_7 = e2
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) ~ (all_57_12 = e1)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4869), (4886), (4887) are inconsistent by
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1892.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (4868), (4888),
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (4889) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4889) gives:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | (4890) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4844), (4890), (function-axioms) are
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | (4891) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4891) gives:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4892) implies:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) op(e2, e0) = e2
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4876), (4893), (function-axioms) are
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4894) gives:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4895) implies:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) op(e1, e0) = e1
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4896), (function-axioms) are
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4897) implies:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (4511), (4515),
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844), (4877), (4898), (function-axioms) are
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | (4899) all_54_5 = e1 | all_54_5 = e0
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (4517), (4862), (4899) are inconsistent by
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1941.
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | (4900) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (4900) implies:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | (4901) op(e3, e1) = e1
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4842), (4901), (function-axioms) are
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74 | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74 | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | (4902) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.92/28.74 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.92/28.74 | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.92/28.74 | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.92/28.74 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.92/28.74 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.92/28.74 | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | BETA: splitting (4902) gives:
% 187.92/28.74 | | | | | | | | | | | | | | | | | |
% 187.92/28.74 | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.74 | | | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (4903) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.12/28.74 | | | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (4844), (4903),
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | #933.
% 188.12/28.74 | | | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | Case 2:
% 188.12/28.74 | | | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (4904) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.12/28.74 | | | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (4515), (4517), (4904),
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.12/28.74 | | | | | | | | | | | | | | | | | | | #1516.
% 188.12/28.74 | | | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | | End of split
% 188.12/28.74 | | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | End of split
% 188.12/28.74 | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | Case 2:
% 188.12/28.74 | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (4905) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.12/28.74 | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.12/28.74 | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.12/28.74 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.12/28.74 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.12/28.74 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.12/28.74 | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.12/28.74 | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.12/28.74 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.12/28.74 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.12/28.74 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.12/28.74 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.12/28.74 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.12/28.74 | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | BETA: splitting (4905) gives:
% 188.12/28.74 | | | | | | | | | | | | | | | | |
% 188.12/28.74 | | | | | | | | | | | | | | | | | Case 1:
% 188.12/28.74 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (4906) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.77 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.77 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.77 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | BETA: splitting (4906) gives:
% 188.29/28.77 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (4907) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (4907) gives:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (4908) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (4908) implies:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (4909) op(e2, e2) = e0
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (117),
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (139), (157), (159), (160), (164), (165), (168),
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (206), (219), (220), (227), (228), (230), (234),
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (238), (239), (373), (3642), (3643), (3645),
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (3646), (4511), (4515), (4844), (4848), (4854),
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (4909), (function-axioms) are inconsistent by
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | sub-proof #895.
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (4910) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (4910) implies:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | (4911) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4515), (4849), (4911), (function-axioms) are
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1513.
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (4912) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (3642), (4512), (4912),
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | #1883.
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (4913) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.77 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | BETA: splitting (4913) gives:
% 188.29/28.77 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (4914) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (4515), (4844), (4849), (4914),
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | #1478.
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (4915) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4515), (4915), (function-axioms) are
% 188.29/28.77 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 188.29/28.77 | | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | (4916) all_32_2 = e0
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (4916) imply:
% 188.29/28.77 | | | | | | | | | | | | | | | | (4917) all_4_2 = e0
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | SIMP: (4917) implies:
% 188.29/28.77 | | | | | | | | | | | | | | | | (4918) all_4_2 = e0
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | REDUCE: (4517), (4918) imply:
% 188.29/28.77 | | | | | | | | | | | | | | | | (4919) ~ (e1 = e0)
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | REDUCE: (36), (4918) imply:
% 188.29/28.77 | | | | | | | | | | | | | | | | (4920) op(e2, e2) = e0
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (117),
% 188.29/28.77 | | | | | | | | | | | | | | | | (139), (157), (159), (160), (164), (165), (168),
% 188.29/28.77 | | | | | | | | | | | | | | | | (206), (219), (220), (227), (228), (230), (234),
% 188.29/28.77 | | | | | | | | | | | | | | | | (238), (239), (373), (3642), (3643), (3645),
% 188.29/28.77 | | | | | | | | | | | | | | | | (3646), (4511), (4515), (4844), (4848), (4854),
% 188.29/28.77 | | | | | | | | | | | | | | | | (4920), (function-axioms) are inconsistent by
% 188.29/28.77 | | | | | | | | | | | | | | | | sub-proof #895.
% 188.29/28.77 | | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | (4921) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.29/28.77 | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.29/28.77 | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (3642), (4515), (4921),
% 188.29/28.77 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.77 | | | | | | | | | | | | | | #914.
% 188.29/28.77 | | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | (4922) all_56_13 = e1 & op(e0, e2) = e1
% 188.29/28.77 | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | ALPHA: (4922) implies:
% 188.29/28.77 | | | | | | | | | | | | | (4923) op(e0, e2) = e1
% 188.29/28.77 | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | | REF_CLOSE: (158), (3641), (4923), (function-axioms) are
% 188.29/28.77 | | | | | | | | | | | | | inconsistent by sub-proof #1649.
% 188.29/28.77 | | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | End of split
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | Case 2:
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | (4924) all_24_2 = e1
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | COMBINE_EQS: (318), (4924) imply:
% 188.29/28.77 | | | | | | | | | | (4925) all_4_2 = e1
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | REDUCE: (354), (4925) imply:
% 188.29/28.77 | | | | | | | | | | (4926) ~ (all_52_6 = e1)
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | REDUCE: (358), (4925) imply:
% 188.29/28.77 | | | | | | | | | | (4927) ~ (all_52_9 = e1)
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | REDUCE: (373), (4925) imply:
% 188.29/28.77 | | | | | | | | | | (4928) ~ (e3 = e1)
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | REDUCE: (36), (4925) imply:
% 188.29/28.77 | | | | | | | | | | (4929) op(e2, e2) = e1
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | BETA: splitting (214) gives:
% 188.29/28.77 | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | Case 1:
% 188.29/28.77 | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | (4930) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.29/28.77 | | | | | | | | | | | & op(e1, e2) = e1)
% 188.29/28.77 | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | BETA: splitting (4930) gives:
% 188.29/28.77 | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | Case 1:
% 188.29/28.77 | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | (4931) all_56_6 = e1 & op(e1, e3) = e1
% 188.29/28.77 | | | | | | | | | | | |
% 188.29/28.77 | | | | | | | | | | | | ALPHA: (4931) implies:
% 188.29/28.78 | | | | | | | | | | | | (4932) op(e1, e3) = e1
% 188.29/28.78 | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.29/28.78 | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | (4933) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.29/28.78 | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.29/28.78 | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | BETA: splitting (4933) gives:
% 188.29/28.78 | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | (4934) all_56_4 = e1 & op(e3, e1) = e1
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | ALPHA: (4934) implies:
% 188.29/28.78 | | | | | | | | | | | | | | (4935) op(e3, e1) = e1
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 188.29/28.78 | | | | | | | | | | | | | | e3, e1, simplifying with (163), (4932) gives:
% 188.29/28.78 | | | | | | | | | | | | | | (4936) all_52_2 = e1
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 188.29/28.78 | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4935) gives:
% 188.29/28.78 | | | | | | | | | | | | | | (4937) all_52_8 = e1
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | REDUCE: (143), (4936) imply:
% 188.29/28.78 | | | | | | | | | | | | | | (4938) ~ (all_52_6 = e1)
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | REDUCE: (141), (4936) imply:
% 188.29/28.78 | | | | | | | | | | | | | | (4939) ~ (all_52_14 = e1)
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | REDUCE: (121), (4937) imply:
% 188.29/28.78 | | | | | | | | | | | | | | (4940) ~ (all_52_11 = e1)
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | REDUCE: (346), (4937) imply:
% 188.29/28.78 | | | | | | | | | | | | | | (4941) ~ (all_6_2 = e1)
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | SIMP: (4941) implies:
% 188.29/28.78 | | | | | | | | | | | | | | (4942) ~ (all_6_2 = e1)
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.29/28.78 | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | (4943) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78 | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78 | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.78 | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.78 | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | BETA: splitting (4943) gives:
% 188.29/28.78 | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | (4944) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.78 | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | BETA: splitting (4944) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (4945) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | BETA: splitting (4945) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4946) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ALPHA: (4946) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4947) op(e3, e3) = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4948) all_54_0 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4948) imply:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4949) all_6_2 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | SIMP: (4949) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4950) all_6_2 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4950) imply:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4951) op(e3, e3) = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4947), (4951), (function-axioms) are
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4952) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4942), (4952) are
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4953) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ALPHA: (4953) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4954) op(e2, e2) = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4929), (4954), (function-axioms) are
% 188.29/28.78 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (4955) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | BETA: splitting (4955) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4956) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ALPHA: (4956) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4957) op(e3, e3) = e1
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (4942), (4957),
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.78 | | | | | | | | | | | | | | | | | | #1052.
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4958) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ALPHA: (4958) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4959) op(e1, e1) = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4959), (function-axioms) are
% 188.29/28.78 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | (4960) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.78 | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | BETA: splitting (4960) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (4961) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | BETA: splitting (4961) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4962) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ALPHA: (4962) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4963) op(e3, e3) = e0
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (4942), (4963),
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.78 | | | | | | | | | | | | | | | | | | #1051.
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4964) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ALPHA: (4964) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4965) (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 188.29/28.78 | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4932), (4965), (function-axioms) are
% 188.29/28.78 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1325.
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (4966) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | BETA: splitting (4966) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4967) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | ALPHA: (4967) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | (4968) op(e2, e1) = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4969) all_54_0 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4969) imply:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4970) all_6_2 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | SIMP: (4970) implies:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4971) all_6_2 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | REDUCE: (348), (4971) imply:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4972) ~ (all_52_12 = e3)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4971) imply:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | (4973) op(e3, e3) = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | (4974) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4974) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | (4975) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4975) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (4976) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4932), (4976), (function-axioms) are
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #894.
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (4977) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4929), (4977), (function-axioms) are
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #938.
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | (4978) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4978) gives:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (4979) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4979),
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | #930.
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (4980) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (4926), (4935), (4980),
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | | #1140.
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (4981) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4981) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (4982) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4982) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (4983) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4935), (4973), (4983), (function-axioms) are
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #893.
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (4984) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4929), (4972), (4984), (function-axioms)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1350.
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (4985) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4985) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (4986) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4973), (4986), (function-axioms) are
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (4987) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4987) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | (4988) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4988) implies:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | (4989) op(e2, e0) = e2
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (4968), (4989),
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | (4990) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4990) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (4991) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4991) implies:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (4992) op(e1, e0) = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4992), (function-axioms) are
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (4993) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4993) implies:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (4994) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (157), (4511), (4515), (4929),
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | (4973), (4994), (function-axioms) are inconsistent
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1633.
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | (4995) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.29/28.79 | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4942), (4995) are
% 188.29/28.79 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 188.29/28.79 | | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (4996) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | ALPHA: (4996) implies:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (4997) op(e1, e2) = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4926), (4997), (function-axioms) are
% 188.29/28.79 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | (4998) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.79 | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.79 | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.79 | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79 | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.79 | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79 | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79 | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.79 | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.79 | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.79 | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.79 | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | BETA: splitting (4998) gives:
% 188.29/28.79 | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | (4999) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.79 | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.79 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | BETA: splitting (4999) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | (5000) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.79 | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4929), (5000),
% 188.29/28.79 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.79 | | | | | | | | | | | | | | | | | #936.
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | (5001) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.79 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (3642), (4512), (5001),
% 188.29/28.79 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.79 | | | | | | | | | | | | | | | | | #1883.
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | (5002) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.79 | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.79 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | BETA: splitting (5002) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | (5003) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.79 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.79 | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.79 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.79 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | BETA: splitting (5003) gives:
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (5004) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | ALPHA: (5004) implies:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (5005) (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 188.29/28.79 | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4932), (5005), (function-axioms) are
% 188.29/28.79 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1325.
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (5006) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.79 | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.79 | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | ALPHA: (5006) implies:
% 188.29/28.79 | | | | | | | | | | | | | | | | | | (5007) op(e2, e2) = e2
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4929), (5007), (function-axioms) are
% 188.29/28.79 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 188.29/28.79 | | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.79 | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (5008) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.80 | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.80 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4515), (5008), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | (5009) all_56_5 = e1 & op(e2, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | ALPHA: (5009) implies:
% 188.29/28.80 | | | | | | | | | | | | | | (5010) op(e2, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | REF_CLOSE: (165), (4927), (5010), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | (5011) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.29/28.80 | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | BETA: splitting (5011) gives:
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | (5012) all_56_8 = e1 & op(e1, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | ALPHA: (5012) implies:
% 188.29/28.80 | | | | | | | | | | | | | | (5013) op(e1, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | REF_CLOSE: (4), (4515), (5013), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | (5014) all_56_14 = e1 & op(e0, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | ALPHA: (5014) implies:
% 188.29/28.80 | | | | | | | | | | | | | | (5015) op(e0, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.29/28.80 | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (5015) gives:
% 188.29/28.80 | | | | | | | | | | | | | | (5016) all_52_11 = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | REDUCE: (3642), (5016) imply:
% 188.29/28.80 | | | | | | | | | | | | | | (5017) $false
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | CLOSE: (5017) is inconsistent.
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | (5018) all_56_7 = e1 & op(e1, e2) = e1
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | ALPHA: (5018) implies:
% 188.29/28.80 | | | | | | | | | | | | (5019) op(e1, e2) = e1
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | REF_CLOSE: (162), (4926), (5019), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | (5020) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.29/28.80 | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | REF_CLOSE: (4), (160), (3645), (4515), (5020),
% 188.29/28.80 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.80 | | | | | | | | | | | #1528.
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | |
% 188.29/28.80 | | | | | | | | End of split
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | (5021) all_20_2 = e3
% 188.29/28.80 | | | | | | | | (5022) ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 188.29/28.80 | | | | | | | | op(e1, e3) = all_20_1 & $i(all_20_0) & $i(all_20_1))
% 188.29/28.80 | | | | | | | | | ( ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 188.29/28.80 | | | | | | | | $i(all_20_1))
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | COMBINE_EQS: (325), (5021) imply:
% 188.29/28.80 | | | | | | | | (5023) all_10_2 = e3
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | SIMP: (5023) implies:
% 188.29/28.80 | | | | | | | | (5024) all_10_2 = e3
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | COMBINE_EQS: (331), (5024) imply:
% 188.29/28.80 | | | | | | | | (5025) all_30_2 = e3
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | REDUCE: (350), (5024) imply:
% 188.29/28.80 | | | | | | | | (5026) ~ (all_52_2 = e3)
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | REDUCE: (363), (5024) imply:
% 188.29/28.80 | | | | | | | | (5027) ~ (all_52_8 = e3)
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | REDUCE: (364), (5024) imply:
% 188.29/28.80 | | | | | | | | (5028) ~ (all_52_9 = e3)
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | REDUCE: (366), (5024) imply:
% 188.29/28.80 | | | | | | | | (5029) ~ (all_52_11 = e3)
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | REDUCE: (368), (5024) imply:
% 188.29/28.80 | | | | | | | | (5030) ~ (all_52_14 = e3)
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | REDUCE: (45), (5024) imply:
% 188.29/28.80 | | | | | | | | (5031) op(e1, e1) = e3
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | BETA: splitting (67) gives:
% 188.29/28.80 | | | | | | | |
% 188.29/28.80 | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | |
% 188.29/28.80 | | | | | | | | | (5032) ~ (all_24_2 = e1)
% 188.29/28.80 | | | | | | | | |
% 188.29/28.80 | | | | | | | | | REDUCE: (318), (5032) imply:
% 188.29/28.80 | | | | | | | | | (5033) ~ (all_4_2 = e1)
% 188.29/28.80 | | | | | | | | |
% 188.29/28.80 | | | | | | | | | BETA: splitting (70) gives:
% 188.29/28.80 | | | | | | | | |
% 188.29/28.80 | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | (5034) ~ (all_26_2 = e1)
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | REDUCE: (307), (5034) imply:
% 188.29/28.80 | | | | | | | | | | (5035) ~ (all_6_2 = e1)
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | BETA: splitting (204) gives:
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | (5036) all_54_0 = e3
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | COMBINE_EQS: (279), (5036) imply:
% 188.29/28.80 | | | | | | | | | | | (5037) all_6_2 = e3
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | SIMP: (5037) implies:
% 188.29/28.80 | | | | | | | | | | | (5038) all_6_2 = e3
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | REDUCE: (342), (5038) imply:
% 188.29/28.80 | | | | | | | | | | | (5039) ~ (all_52_3 = e3)
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | REDUCE: (344), (5038) imply:
% 188.29/28.80 | | | | | | | | | | | (5040) ~ (all_52_4 = e3)
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | REDUCE: (348), (5038) imply:
% 188.29/28.80 | | | | | | | | | | | (5041) ~ (all_52_12 = e3)
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | REDUCE: (39), (5038) imply:
% 188.29/28.80 | | | | | | | | | | | (5042) op(e3, e3) = e3
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 188.29/28.80 | | | | | | | | | | | (112), (117), (120), (121), (123), (133), (134),
% 188.29/28.80 | | | | | | | | | | | (139), (146), (157), (158), (159), (160), (164),
% 188.29/28.80 | | | | | | | | | | | (165), (167), (168), (169), (170), (198), (199),
% 188.29/28.80 | | | | | | | | | | | (201), (202), (203), (206), (208), (209), (212),
% 188.29/28.80 | | | | | | | | | | | (213), (214), (215), (217), (218), (219), (221),
% 188.29/28.80 | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 188.29/28.80 | | | | | | | | | | | (230), (231), (232), (234), (238), (239), (261),
% 188.29/28.80 | | | | | | | | | | | (268), (270), (271), (272), (309), (314), (349),
% 188.29/28.80 | | | | | | | | | | | (352), (358), (373), (3640), (3641), (3642),
% 188.29/28.80 | | | | | | | | | | | (3643), (3644), (3645), (3646), (3649), (5027),
% 188.29/28.80 | | | | | | | | | | | (5028), (5031), (5033), (5039), (5040), (5041),
% 188.29/28.80 | | | | | | | | | | | (5042), (function-axioms) are inconsistent by
% 188.29/28.80 | | | | | | | | | | | sub-proof #859.
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | (5043) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5035), (5043) are
% 188.29/28.80 | | | | | | | | | | | inconsistent by sub-proof #1952.
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | (5044) all_26_2 = e1
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | COMBINE_EQS: (307), (5044) imply:
% 188.29/28.80 | | | | | | | | | | (5045) all_6_2 = e1
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | SIMP: (5045) implies:
% 188.29/28.80 | | | | | | | | | | (5046) all_6_2 = e1
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | REDUCE: (338), (5046) imply:
% 188.29/28.80 | | | | | | | | | | (5047) ~ (all_52_1 = e1)
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | REDUCE: (340), (5046) imply:
% 188.29/28.80 | | | | | | | | | | (5048) ~ (all_52_2 = e1)
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | REDUCE: (344), (5046) imply:
% 188.29/28.80 | | | | | | | | | | (5049) ~ (all_52_4 = e1)
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | REDUCE: (346), (5046) imply:
% 188.29/28.80 | | | | | | | | | | (5050) ~ (all_52_8 = e1)
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | REDUCE: (377), (5046) imply:
% 188.29/28.80 | | | | | | | | | | (5051) ~ (e2 = e1)
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | REDUCE: (39), (5046) imply:
% 188.29/28.80 | | | | | | | | | | (5052) op(e3, e3) = e1
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | BETA: splitting (214) gives:
% 188.29/28.80 | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | (5053) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.29/28.80 | | | | | | | | | | | & op(e1, e2) = e1)
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | BETA: splitting (5053) gives:
% 188.29/28.80 | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | (5054) all_56_6 = e1 & op(e1, e3) = e1
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | ALPHA: (5054) implies:
% 188.29/28.80 | | | | | | | | | | | | (5055) all_56_6 = e1
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | (5056) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.29/28.80 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | REF_CLOSE: (36), (170), (5033), (5049), (5056),
% 188.29/28.80 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.80 | | | | | | | | | | | | | #1531.
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | (5057) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 188.29/28.80 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | BETA: splitting (5057) gives:
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | (5058) all_56_7 = e1 & op(e1, e2) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | ALPHA: (5058) implies:
% 188.29/28.80 | | | | | | | | | | | | | | (5059) all_56_7 = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 188.29/28.80 | | | | | | | | | | | | | | (5031), (5055), (5059), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | inconsistent by sub-proof #858.
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | (5060) all_56_13 = e1 & op(e0, e2) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | ALPHA: (5060) implies:
% 188.29/28.80 | | | | | | | | | | | | | | (5061) op(e0, e2) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | REF_CLOSE: (158), (3641), (5061), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | inconsistent by sub-proof #1649.
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | (5062) all_56_7 = e1 & op(e1, e2) = e1
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | ALPHA: (5062) implies:
% 188.29/28.80 | | | | | | | | | | | | (5063) all_56_7 = e1
% 188.29/28.80 | | | | | | | | | | | | (5064) op(e1, e2) = e1
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.29/28.80 | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | (5065) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.29/28.80 | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | BETA: splitting (5065) gives:
% 188.29/28.80 | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | (5066) all_56_4 = e1 & op(e3, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | ALPHA: (5066) implies:
% 188.29/28.80 | | | | | | | | | | | | | | (5067) op(e3, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | REF_CLOSE: (169), (5050), (5067), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | (5068) all_56_5 = e1 & op(e2, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | ALPHA: (5068) implies:
% 188.29/28.80 | | | | | | | | | | | | | | (5069) all_56_5 = e1
% 188.29/28.80 | | | | | | | | | | | | | | (5070) op(e2, e1) = e1
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.29/28.80 | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | (5071) ~ (all_32_2 = e0)
% 188.29/28.80 | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | REDUCE: (314), (5071) imply:
% 188.29/28.80 | | | | | | | | | | | | | | | (5072) ~ (all_4_2 = e0)
% 188.29/28.80 | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.29/28.80 | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | (5073) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.80 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.80 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.80 | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.80 | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80 | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.80 | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.80 | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | BETA: splitting (5073) gives:
% 188.29/28.80 | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (5074) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.80 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.80 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (5027), (5050), (5052),
% 188.29/28.80 | | | | | | | | | | | | | | | | | (5074), (function-axioms) are inconsistent by
% 188.29/28.80 | | | | | | | | | | | | | | | | | sub-proof #857.
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (5075) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.80 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.80 | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | BETA: splitting (5075) gives:
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | (5076) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.80 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.29/28.80 | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (5052), (5076),
% 188.29/28.80 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.80 | | | | | | | | | | | | | | | | | | #933.
% 188.29/28.80 | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | (5077) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.80 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.80 | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | BETA: splitting (5077) gives:
% 188.29/28.80 | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | (5078) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | ALPHA: (5078) implies:
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | (5079) op(e2, e2) = e1
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (5033), (5079), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | (5080) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | ALPHA: (5080) implies:
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | (5081) op(e1, e1) = e2
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5081), (function-axioms) are
% 188.29/28.80 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 188.29/28.80 | | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | End of split
% 188.29/28.80 | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80 | | | | | | | | | | | | | | | |
% 188.29/28.80 | | | | | | | | | | | | | | | | (5082) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80 | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.80 | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80 | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.80 | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.80 | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.80 | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.80 | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.80 | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.80 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.80 | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.80 | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.80 | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.80 | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.80 | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.80 | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.81 | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.81 | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.81 | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.81 | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.81 | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.81 | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.81 | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.81 | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.81 | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.81 | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.81 | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.81 | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.81 | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | BETA: splitting (5082) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | (5083) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.81 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.81 | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.81 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.81 | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | BETA: splitting (5083) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | (5084) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.29/28.81 | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | BETA: splitting (5084) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5085) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ALPHA: (5085) implies:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5086) op(e2, e2) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (5033), (5072), (5086),
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | #1220.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5087) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ALPHA: (5087) implies:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5088) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5088), (function-axioms) are
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #879.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81 | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | (5089) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.81 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.81 | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5090) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ALPHA: (5090) implies:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5091) op(e0, e1) = e1
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3642), (5091), (function-axioms) are
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1885.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5092) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | ALPHA: (5092) implies:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5093) all_57_15 = e1
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5094) op(e0, e1) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | (5095) (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | (5096) all_54_5 = e3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (5096) are inconsistent by sub-proof
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | #1948.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | (5097) ~ (all_54_5 = e3)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | (5098) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5098) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | (5099) all_54_5 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5099) imply:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | (5100) all_4_2 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | SIMP: (5100) implies:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | (5101) all_4_2 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (5101) imply:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | (5102) ~ (all_52_1 = e2)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5101) imply:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | (5103) ~ (all_52_13 = e2)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5101) imply:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | (5104) op(e2, e2) = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (5105) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5105) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (5106) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5106) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (5107) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5102), (5107), (function-axioms) are
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (5108) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (3646), (5108),
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | #980.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (5109) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (5052), (5064), (5104), (5109),
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | #902.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (5110) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (5111) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5111) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (5112) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5052), (5095), (5112), (function-axioms) are
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (5113) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5114) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5114) implies:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5115) all_57_7 = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5116) ~ (all_57_12 = e1)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5095), (5115), (5116) are inconsistent by
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1892.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5117) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5031), (5104), (5117),
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | #856.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (5118) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5118) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (5119) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5052), (5119), (function-axioms) are
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (5120) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5120) gives:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5121) implies:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5122) op(e2, e0) = e2
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5103), (5122), (function-axioms) are
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5123) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.29/28.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5123) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5124) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) op(e1, e0) = e1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (5125), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5126) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5127) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5128) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5129) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) op(e2, e2) = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5130), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5131) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5132) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) op(e0, e3) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (5094), (5133),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1671.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5134) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) op(e3, e3) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5052), (5135), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5136) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5137) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) ~ (all_57_4 = e1)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) op(e1, e2) = all_57_4
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5064), (5138), (5139), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1303.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5140) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5141) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) ~ (all_57_15 = e1)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5093), (5142) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) $false
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5143) is inconsistent.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5144) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) op(e2, e2) = e1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5104), (5145), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | (5146) all_54_5 = e1 | all_54_5 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (5033), (5072), (5146) are inconsistent by
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | sub-proof #1941.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | (5147) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.82 | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.82 | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.82 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.82 | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.82 | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.82 | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (3646), (5031), (5052), (5064),
% 188.29/28.82 | | | | | | | | | | | | | | | | | (5147), (function-axioms) are inconsistent by
% 188.29/28.82 | | | | | | | | | | | | | | | | | sub-proof #855.
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | End of split
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | (5148) all_32_2 = e0
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | COMBINE_EQS: (314), (5148) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5149) all_4_2 = e0
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | COMBINE_EQS: (309), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5150) all_36_2 = e0
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | REDUCE: (349), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5151) ~ (all_52_1 = e0)
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | REDUCE: (352), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5152) ~ (all_52_4 = e0)
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | REDUCE: (356), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5153) ~ (all_52_7 = e0)
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | REDUCE: (360), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5154) ~ (all_52_13 = e0)
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | REDUCE: (373), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5155) ~ (e3 = e0)
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | REDUCE: (5033), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5156) ~ (e1 = e0)
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | REDUCE: (36), (5149) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | (5157) op(e2, e2) = e0
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.29/28.82 | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | (5158) all_54_11 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5030), (5158) are inconsistent by
% 188.29/28.82 | | | | | | | | | | | | | | | | sub-proof #1277.
% 188.29/28.82 | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | (5159) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | (5160) all_54_14 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5160) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | (5161) all_52_11 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | REDUCE: (5029), (5161) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | (5162) $false
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | CLOSE: (5162) is inconsistent.
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | (5163) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | (5164) all_54_8 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5026), (5164) are inconsistent by
% 188.29/28.82 | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 188.29/28.82 | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | (5165) ~ (all_54_8 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | (5166) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | (5167) all_54_2 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5027), (5167) are inconsistent by
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | sub-proof #1762.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | (5168) ~ (all_54_2 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | (5169) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5170) all_54_1 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5170) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5171) all_52_4 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | SIMP: (5171) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5172) all_52_4 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5172) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5173) ~ (all_52_7 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | SIMP: (5173) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5174) ~ (all_52_7 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5172) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5175) ~ (all_52_8 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5172) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5176) ~ (all_52_12 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | SIMP: (5176) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | (5177) ~ (all_52_12 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | (5178) all_54_13 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (5178) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | (5179) all_52_7 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5179) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | (5180) $false
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5180) is inconsistent.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | (5181) ~ (all_54_13 = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | (5182) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5182) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | (5183) all_54_13 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (5183) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | (5184) all_52_7 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5184) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | (5185) ~ (all_52_3 = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5184) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | (5186) ~ (all_52_11 = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5186) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | (5187) ~ (all_52_11 = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5184) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | (5188) ~ (e3 = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | (5189) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5189) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | (5190) all_56_1 = e3 & op(e3, e2) = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5190) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | (5191) all_56_1 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5163) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5192) all_54_14 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5192) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_52_11 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5187), (5193) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5194) $false
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5194) is inconsistent.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5195) all_54_14 = e1 | all_54_14 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5196) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) all_56_12 = e3 & op(e0, e3) = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5197) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_56_12 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) all_56_15 = e0 & op(e0, e0) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5199) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) op(e0, e0) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (5200), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5201) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5202) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) all_56_12 = e0 & op(e0, e3) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5204) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) all_56_12 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5198), (5205) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) e3 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5206) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) e3 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (206),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (213), (214), (215), (228), (373), (3645),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646), (5031), (5191), (5198), (5207),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #853.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5208) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) all_56_13 = e0 & op(e0, e2) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5209) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) all_56_13 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (3645), (5031),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5157), (5210), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #851.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_56_14 = e0 & op(e0, e1) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) op(e0, e1) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5191), (5213),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1300.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5214) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) all_56_7 = e2 & op(e1, e2) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5215) are inconsistent by sub-proof
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_56_13 = e2 & op(e0, e2) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) all_56_13 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (223),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (5052), (5069), (5150), (5157),
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218), (function-axioms) are inconsistent by
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #850.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5219) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_56_6 = e0 & op(e1, e3) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5220) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_56_6 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5222) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) all_56_0 = e2 & op(e3, e3) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5223) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) op(e3, e3) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5052), (5224), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) all_56_2 = e2 & op(e2, e3) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5225) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) all_56_2 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) op(e2, e3) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5228) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) all_56_9 = e3 & op(e3, e0) = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5229) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) op(e3, e0) = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5177), (5230), (function-axioms) are
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) all_56_10 = e3 & op(e2, e0) = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5231) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) all_56_10 = e3
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5233) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_56_4 = e2 & op(e3, e1) = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5234) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) all_56_4 = e2
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5203) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) all_56_9 = e0 & op(e3, e0) = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5236) implies:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) all_56_9 = e0
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5195) gives:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) all_54_14 = e1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5238) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) all_52_11 = e1
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3642), (5239) imply:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) $false
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5240) is inconsistent.
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) all_54_14 = e0
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5241) imply:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) all_52_11 = e0
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5242) imply:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) ~ (all_52_3 = e0)
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) all_54_12 = e3
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (5244) imply:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) all_52_3 = e3
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5245) implies:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) all_52_3 = e3
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5246) imply:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) ~ (all_52_1 = e3)
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) all_54_4 = e3
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5247), (5248) are inconsistent by
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1409.
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) ~ (all_54_4 = e3)
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5250) gives:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) all_54_4 = e2
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (5251) imply:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_52_1 = e2
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5252) implies:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_52_1 = e2
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5253) imply:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) ~ (all_52_13 = e2)
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5254) implies:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) ~ (all_52_13 = e2)
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.29/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5256) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (5027), (5050), (5052),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257), (function-axioms) are inconsistent by
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #857.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5258) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5259) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5260) implies:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) op(e3, e3) = e0
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5052), (5261), (function-axioms) are
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5262) implies:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) op(e0, e3) = e0
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5069), (5157), (5217), (5235), (5264),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #848.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (5031), (5263), (5265),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1120.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (5031), (5157), (5266),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1174.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5267) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5268) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5269) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5270) implies:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) op(e2, e0) = e2
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5255), (5271), (function-axioms) are
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5272) implies:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5273), (function-axioms) are
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #879.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5274) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5275) implies:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) op(e0, e1) = e1
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3642), (5276), (function-axioms) are
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1885.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5277) implies:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) op(e1, e0) = e0
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (120),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (157), (160), (201), (213), (214), (215),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (227), (228), (270), (271), (373), (3643),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645), (5031), (5050), (5063), (5069), (5157),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169), (5177), (5217), (5235), (5278),
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #846.
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5279) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5280) gives:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5281) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) op(e3, e3) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (168), (232), (234), (3643),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191), (5237), (5282), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1192.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5283) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5284), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #879.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (5031), (5285),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #866.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) ~ (all_54_4 = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (5286) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) ~ (all_52_1 = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5227), (5287), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1785.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5288) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) all_54_12 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5185), (5289) are inconsistent by
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1465.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) all_54_12 = e1 | all_54_12 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3640), (5243), (5290) are inconsistent by
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #845.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5291) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) all_56_10 = e0 & op(e2, e0) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5292) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) all_56_10 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5232), (5293) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) e3 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (206),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (213), (214), (215), (228), (373), (3645),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646), (5031), (5191), (5198), (5294),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #853.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) all_56_11 = e0 & op(e1, e0) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5295) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) op(e1, e0) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (120),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (157), (160), (201), (213), (214), (215),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (227), (228), (270), (271), (373), (3643),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645), (5031), (5050), (5063), (5069), (5157),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169), (5177), (5217), (5235), (5296),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #846.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_56_5 = e2 & op(e2, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5297) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) op(e2, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5070), (5298), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5299) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_56_8 = e2 & op(e1, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5300) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) op(e1, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5301), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_56_14 = e2 & op(e0, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5302) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) all_56_14 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (160),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (213), (214), (215), (223), (224),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (3645), (3646), (5031),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5069), (5150), (5157), (5191), (5198),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202), (5226), (5303), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #844.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5304) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) all_56_11 = e3 & op(e1, e0) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5305) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_56_11 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5307) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_56_6 = e2 & op(e1, e3) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5308) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) all_56_6 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5221), (5309) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) e2 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5226), (5310) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) all_56_2 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5069), (5150), (5157), (5311),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1703.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5312) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_56_7 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5063), (5313) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) e2 = e1
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5314) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) e2 = e1
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5226), (5315) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_56_2 = e1
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (5052),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198), (5316), (function-axioms) are inconsistent
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1845.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5306), (5317), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #885.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_56_15 = e3 & op(e0, e0) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) op(e0, e0) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5319), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5157), (5198), (5217), (5221), (5320),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #843.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_56_12 = e0 & op(e0, e3) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5321) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) op(e0, e3) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (5212), (5322),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1671.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5323) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_56_13 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (5063), (5157), (5191),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324), (function-axioms) are inconsistent by
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1298.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5325) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_56_14 = e3 & op(e0, e1) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5326) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_56_14 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_56_15 = e0 & op(e0, e0) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5328) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) op(e0, e0) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (5329), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5330) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5331) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) all_56_12 = e0 & op(e0, e3) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5332) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) op(e0, e3) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5191), (5334),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1300.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5335) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5336) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) all_56_13 = e2 & op(e0, e2) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5337) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) all_56_13 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5339) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) all_56_4 = e2 & op(e3, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5340) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) all_56_4 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5069), (5157), (5338), (5341), (5342),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #848.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (5031), (5333), (5343),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1120.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) all_56_5 = e2 & op(e2, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5344) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) op(e2, e1) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5070), (5345), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5327), (5346), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5347) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_56_13 = e0 & op(e0, e2) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5348) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_56_13 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5157), (5349), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #851.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) all_56_14 = e0 & op(e0, e1) = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5350) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) all_56_14 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5327), (5351) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) e3 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5352) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) e3 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5191), (5353) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) all_56_1 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (3641), (5157), (5354),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #874.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) all_56_15 = e3 & op(e0, e0) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5355) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) op(e0, e0) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5356), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5357) all_56_3 = e3 & op(e2, e2) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5357) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5358) op(e2, e2) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5358), (function-axioms) are
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | (5359) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5359) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5360) all_56_7 = e3 & op(e1, e2) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5360) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5361) all_56_7 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (215), (3645), (5031), (5361), (function-axioms)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1769.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5362) all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5362) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_56_13 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (168), (169), (227), (236),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5027), (5052), (5063), (5157), (5177), (5363),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | (5364) all_54_13 = e1 | all_54_13 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3641), (5153), (5364) are inconsistent by
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1652.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | (5365) ~ (all_54_1 = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | (5366) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (5365) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | (5367) ~ (all_52_4 = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5366) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | (5368) all_54_1 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5368) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | (5369) all_52_4 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | SIMP: (5369) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | (5370) all_52_4 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5370) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | (5371) ~ (all_52_8 = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | SIMP: (5371) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | (5372) ~ (all_52_8 = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5367), (5370) imply:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | (5373) ~ (e3 = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | (5374) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5374) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | (5375) all_56_1 = e3 & op(e3, e2) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5375) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | (5376) all_56_1 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | (5377) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5377) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | (5378) all_56_12 = e3 & op(e0, e3) = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5378) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | (5379) all_56_12 = e3
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5376), (5380),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | #1300.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5381) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5382) are inconsistent by sub-proof
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) all_56_13 = e2 & op(e0, e2) = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5383) implies:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) all_56_13 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (121), (157),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (213), (214), (215), (217), (227), (228),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (373), (3645), (5031), (5050), (5063),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069), (5070), (5157), (5169), (5372), (5384),
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385), (function-axioms) are inconsistent by
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #842.
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5386) gives:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) all_56_8 = e2 & op(e1, e1) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5387) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) op(e1, e1) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5388), (function-axioms) are
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) all_56_14 = e2 & op(e0, e1) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5389) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) all_56_14 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) all_56_15 = e0 & op(e0, e0) = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5391) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) op(e0, e0) = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (5392), (function-axioms) are
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5393) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (223),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (5052), (5069), (5150), (5157),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395), (function-axioms) are inconsistent by
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #850.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_56_6 = e0 & op(e1, e3) = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5397) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) all_56_6 = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5399) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_56_0 = e2 & op(e3, e3) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5400) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) op(e3, e3) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5052), (5401), (function-axioms) are
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) all_56_2 = e2 & op(e2, e3) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5402) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_56_2 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (160),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (213), (214), (215), (223), (224),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (3645), (3646), (5031),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5069), (5150), (5157), (5376), (5379),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390), (5394), (5403), (function-axioms) are
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #844.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063), (5157), (5379), (5384), (5398), (5404),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #843.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_56_12 = e0 & op(e0, e3) = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5405) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_56_12 = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5379), (5406) imply:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) e3 = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (206),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (213), (214), (215), (228), (373), (3645),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646), (5031), (5376), (5379), (5407),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #853.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_56_13 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5376), (5410),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #1300.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5063), (5409), (5411) are inconsistent
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1299.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | (5412) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5412) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_56_14 = e3 & op(e0, e1) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5413) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_56_14 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5376), (5415),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #1300.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5416) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5417) are inconsistent by sub-proof
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_56_13 = e2 & op(e0, e2) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5418) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_56_13 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (121), (157),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (213), (214), (215), (217), (227), (228),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (373), (3645), (5031), (5050), (5063),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069), (5070), (5157), (5169), (5372), (5419),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420), (function-axioms) are inconsistent by
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #842.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5414), (5421), (function-axioms) are
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5422) all_56_15 = e3 & op(e0, e0) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5422) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5423) op(e0, e0) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5423), (function-axioms) are
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (5424) all_56_3 = e3 & op(e2, e2) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5424) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (5425) op(e2, e2) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5425), (function-axioms) are
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | (5426) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5426) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (5427) all_56_7 = e3 & op(e1, e2) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5427) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (5428) all_56_7 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (215), (3645), (5031), (5428), (function-axioms)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1769.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (5429) all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5429) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (5430) all_56_13 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | (5431) op(e0, e2) = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | (5432) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5432) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_56_1 = e2 & op(e3, e2) = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5433) implies:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_56_1 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5169) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) all_54_2 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5372), (5435) are inconsistent by
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1761.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) all_54_2 = e1 | all_54_2 = e0
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5437) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (5027), (5050), (5052),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438), (function-axioms) are inconsistent by
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #857.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5439) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (5052), (5440),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (5031), (5157), (5441),
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1174.
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5442) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5443) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5444) gives:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5445) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) op(e0, e2) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) op(e2, e0) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (227), (5052), (5063), (5157),
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430), (5448), (function-axioms) are inconsistent
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1297.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) all_56_4 = e3 & op(e3, e1) = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5450) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) op(e3, e1) = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5027), (5451), (function-axioms) are
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) all_56_9 = e3 & op(e3, e0) = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5452) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) op(e3, e0) = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5454) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) all_56_0 = e3 & op(e3, e3) = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5455) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) op(e3, e3) = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5052), (5456), (function-axioms) are
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) all_56_2 = e3 & op(e2, e3) = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5457) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_56_2 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5459) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) all_56_2 = e2 & op(e2, e3) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5458), (5460) are inconsistent by sub-proof
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1861.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) all_56_3 = e2 & op(e2, e2) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5461) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) op(e2, e2) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (5063), (5430), (5434),
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462), (function-axioms) are inconsistent by
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1156.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5463) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) all_56_5 = e2 & op(e2, e1) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5464) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) op(e2, e1) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (5447), (5465),
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) all_56_10 = e2 & op(e2, e0) = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5466) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) all_56_10 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) all_54_3 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5468) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5469) all_52_12 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5469) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470) all_52_12 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5470) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471) ~ (all_52_13 = e3)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5471) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472) ~ (all_52_13 = e3)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473) all_54_7 = e3
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5472), (5473) are inconsistent by
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5474) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5474) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_54_7 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5475) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476) all_52_13 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5476) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5477) all_52_13 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5477) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478) ~ (all_52_14 = e2)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5478) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) ~ (all_52_14 = e2)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5159) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) all_54_11 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5479), (5480) are inconsistent by
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) all_54_11 = e1 | all_54_11 = e0
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5481) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) all_54_11 = e1
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3645), (5482) are inconsistent by
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) all_54_11 = e0
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5483) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) all_52_14 = e0
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5484) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) all_52_14 = e0
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5485) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) ~ (all_52_2 = e0)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5166) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) all_54_8 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (5487) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) all_52_2 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5488) implies:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) all_52_2 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (5431), (5446) gives:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) e3 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5458), (5490) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) all_56_2 = e2
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (5069), (5467),
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491), (function-axioms) are inconsistent by
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1398.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) all_54_8 = e1 | all_54_8 = e0
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5048), (5486), (5492) are inconsistent by
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1365.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) all_54_7 = e1 | all_54_7 = e0
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (5154), (5493) are inconsistent by
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1376.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) ~ (all_54_3 = e3)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (5494) imply:
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) ~ (all_52_12 = e3)
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5453), (5495), (function-axioms) are
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 188.45/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5496) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) all_56_6 = e3 & op(e1, e3) = e3
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5497) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) all_56_6 = e3
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5499) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) all_56_0 = e0 & op(e3, e3) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5500) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) op(e3, e3) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5052), (5501), (function-axioms) are
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) all_56_1 = e0 & op(e3, e2) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5502) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_56_1 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (5063), (5157), (5430),
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503), (function-axioms) are inconsistent by
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1904.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5504) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) all_56_4 = e0 & op(e3, e1) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5505) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) all_56_4 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5507) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) all_56_6 = e0 & op(e1, e3) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5508) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) all_56_6 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5498), (5509) imply:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) e3 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5430), (5510) imply:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) all_56_13 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (228), (373), (3645), (5031),
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434), (5511), (function-axioms) are inconsistent
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #852.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) all_56_7 = e0 & op(e1, e2) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5063), (5512) are inconsistent by sub-proof
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1563.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) all_56_8 = e0 & op(e1, e1) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5514) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) op(e1, e1) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (5069),
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506), (5515), (function-axioms) are inconsistent
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1817.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) all_56_11 = e0 & op(e1, e0) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5516) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) all_56_11 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) all_56_6 = e2 & op(e1, e3) = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5498), (5519) are inconsistent by sub-proof
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1853.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) all_56_7 = e2 & op(e1, e2) = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5520) are inconsistent by sub-proof
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5521) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) all_56_8 = e2 & op(e1, e1) = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5522) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) op(e1, e1) = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5523), (function-axioms) are
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) all_56_11 = e2 & op(e1, e0) = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5524) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) all_56_11 = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5517), (5525) are inconsistent by sub-proof
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1227.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) all_56_9 = e0 & op(e3, e0) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5526) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) op(e3, e0) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5453), (5527), (function-axioms) are
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) all_56_12 = e3 & op(e0, e3) = e3
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5528) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) all_56_12 = e3
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (3646),
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430), (5529), (function-axioms) are inconsistent
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #888.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5530) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5531), (function-axioms) are
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #879.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5532) gives:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5533) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) op(e0, e1) = e1
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3642), (5534), (function-axioms) are
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1885.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5535) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) op(e0, e1) = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (5050), (5436), (5536),
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1075.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (3646), (5031), (5052), (5064),
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537), (function-axioms) are inconsistent by
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #855.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | (5538) all_56_3 = e2 & op(e2, e2) = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5538) implies:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | (5539) op(e2, e2) = e2
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5157), (5539), (function-axioms) are
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | (5540) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5063), (5430), (5540) are inconsistent
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1299.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | (5541) all_54_1 = e1 | all_54_1 = e0
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5049), (5152), (5541) are inconsistent by
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | | sub-proof #1898.
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | (5542) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.52/28.86 | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.52/28.86 | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3642), (5031), (5542),
% 188.52/28.86 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.86 | | | | | | | | | | | | | #1235.
% 188.52/28.86 | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | (5543) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.52/28.86 | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | REF_CLOSE: (8), (160), (3645), (5031), (5543),
% 188.52/28.86 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.86 | | | | | | | | | | | #1770.
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | End of split
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | Case 2:
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | (5544) all_24_2 = e1
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | COMBINE_EQS: (318), (5544) imply:
% 188.52/28.86 | | | | | | | | | (5545) all_4_2 = e1
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | REDUCE: (354), (5545) imply:
% 188.52/28.86 | | | | | | | | | (5546) ~ (all_52_6 = e1)
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | REDUCE: (358), (5545) imply:
% 188.52/28.86 | | | | | | | | | (5547) ~ (all_52_9 = e1)
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | REDUCE: (373), (5545) imply:
% 188.52/28.86 | | | | | | | | | (5548) ~ (e3 = e1)
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | REDUCE: (36), (5545) imply:
% 188.52/28.86 | | | | | | | | | (5549) op(e2, e2) = e1
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | BETA: splitting (214) gives:
% 188.52/28.86 | | | | | | | | |
% 188.52/28.86 | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | (5550) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.52/28.86 | | | | | | | | | | & op(e1, e2) = e1)
% 188.52/28.86 | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | BETA: splitting (5550) gives:
% 188.52/28.86 | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | (5551) all_56_6 = e1 & op(e1, e3) = e1
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | ALPHA: (5551) implies:
% 188.52/28.86 | | | | | | | | | | | (5552) all_56_6 = e1
% 188.52/28.86 | | | | | | | | | | | (5553) op(e1, e3) = e1
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | BETA: splitting (218) gives:
% 188.52/28.86 | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | (5554) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.52/28.86 | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.52/28.86 | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | BETA: splitting (5554) gives:
% 188.52/28.86 | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | Case 1:
% 188.52/28.86 | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | (5555) all_56_4 = e1 & op(e3, e1) = e1
% 188.52/28.86 | | | | | | | | | | | | |
% 188.52/28.86 | | | | | | | | | | | | | ALPHA: (5555) implies:
% 188.52/28.86 | | | | | | | | | | | | | (5556) op(e3, e1) = e1
% 188.52/28.86 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 188.52/28.87 | | | | | | | | | | | | | e3, e1, simplifying with (163), (5553) gives:
% 188.52/28.87 | | | | | | | | | | | | | (5557) all_52_2 = e1
% 188.52/28.87 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 188.52/28.87 | | | | | | | | | | | | | e1, e3, simplifying with (169), (5556) gives:
% 188.52/28.87 | | | | | | | | | | | | | (5558) all_52_8 = e1
% 188.52/28.87 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | REDUCE: (143), (5557) imply:
% 188.52/28.87 | | | | | | | | | | | | | (5559) ~ (all_52_6 = e1)
% 188.52/28.87 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | REDUCE: (141), (5557) imply:
% 188.52/28.87 | | | | | | | | | | | | | (5560) ~ (all_52_14 = e1)
% 188.52/28.87 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | REDUCE: (346), (5558) imply:
% 188.52/28.87 | | | | | | | | | | | | | (5561) ~ (all_6_2 = e1)
% 188.52/28.87 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | SIMP: (5561) implies:
% 188.52/28.87 | | | | | | | | | | | | | (5562) ~ (all_6_2 = e1)
% 188.52/28.87 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.87 | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | (5563) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.87 | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.87 | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.87 | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.87 | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.87 | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.87 | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.87 | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.87 | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.52/28.87 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.87 | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.87 | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.87 | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.87 | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.87 | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | BETA: splitting (5563) gives:
% 188.52/28.87 | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | (5564) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.87 | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.87 | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.87 | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.87 | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | BETA: splitting (5564) gives:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5565) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5553), (5565), (function-axioms) are
% 188.52/28.87 | | | | | | | | | | | | | | | | inconsistent by sub-proof #894.
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5566) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5549), (5566), (function-axioms) are
% 188.52/28.87 | | | | | | | | | | | | | | | | inconsistent by sub-proof #938.
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | End of split
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | (5567) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.87 | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.87 | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.87 | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.87 | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.52/28.87 | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_10))
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | BETA: splitting (5567) gives:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5568) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.87 | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3646), (5031), (5568),
% 188.52/28.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.87 | | | | | | | | | | | | | | | | #882.
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5569) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.87 | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.87 | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (5027), (5546), (5569),
% 188.52/28.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.87 | | | | | | | | | | | | | | | | #1677.
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | End of split
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | End of split
% 188.52/28.87 | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | (5570) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.87 | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.87 | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.87 | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.87 | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.87 | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.87 | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.52/28.87 | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.52/28.87 | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.52/28.87 | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.52/28.87 | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.52/28.87 | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.87 | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.52/28.87 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.87 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.87 | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.87 | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.87 | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.87 | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.87 | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.87 | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.87 | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.87 | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.87 | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | BETA: splitting (5570) gives:
% 188.52/28.87 | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | (5571) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.87 | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.87 | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.87 | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.87 | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.87 | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.87 | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | BETA: splitting (5571) gives:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5572) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.87 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.87 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | BETA: splitting (5572) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | (5573) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | $i(all_57_10)
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | ALPHA: (5573) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | (5574) op(e3, e1) = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5027), (5574), (function-axioms) are
% 188.52/28.87 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | (5575) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | ALPHA: (5575) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | (5576) op(e3, e3) = e1
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (5562), (5576),
% 188.52/28.87 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.87 | | | | | | | | | | | | | | | | | #1052.
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | End of split
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5577) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.52/28.87 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5031), (5549), (5577),
% 188.52/28.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.87 | | | | | | | | | | | | | | | | #840.
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | End of split
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | (5578) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.52/28.87 | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.52/28.87 | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.87 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.52/28.87 | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.87 | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.52/28.87 | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.52/28.87 | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.52/28.87 | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.52/28.87 | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.87 | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.52/28.87 | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.52/28.87 | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.87 | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.87 | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.87 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.87 | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.87 | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | BETA: splitting (5578) gives:
% 188.52/28.87 | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5579) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.87 | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.52/28.87 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.87 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (5562), (5579),
% 188.52/28.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.87 | | | | | | | | | | | | | | | | #1050.
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | (5580) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.87 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.87 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.87 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.87 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.87 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | BETA: splitting (5580) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | (5581) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | ALPHA: (5581) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | (5582) op(e1, e1) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5031), (5582), (function-axioms) are
% 188.52/28.87 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | (5583) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.52/28.87 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.52/28.87 | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.52/28.87 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.87 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.52/28.87 | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.52/28.87 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.52/28.87 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.52/28.87 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.52/28.87 | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | BETA: splitting (5583) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (5584) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | ALPHA: (5584) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (5585) op(e1, e0) = e1
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (5585), (function-axioms) are
% 188.52/28.87 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (5586) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (5587) op(e0, e0) = all_57_15
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (5588) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.87 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.87 | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.87 | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | (5589) ~ (all_30_2 = e3)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | REDUCE: (5025), (5589) imply:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | (5590) $false
% 188.52/28.87 | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | CLOSE: (5590) is inconsistent.
% 188.52/28.87 | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | (5591) ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 188.52/28.87 | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (5591) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | (5592) ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (5592) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | (5593) op(e1, e3) = all_30_1
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | (5594) all_54_0 = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (5594) imply:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | (5595) all_6_2 = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (5595) imply:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | (5596) ~ (all_52_12 = e3)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5595) imply:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | (5597) op(e3, e3) = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | (5598) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5598) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5599) all_56_9 = e3 & op(e3, e0) = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5599) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5600) op(e3, e0) = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5596), (5600), (function-axioms) are
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5601) all_56_10 = e3 & op(e2, e0) = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5601) implies:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5602) op(e2, e0) = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (3644), (3646), (5022), (5031),
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5549), (5553), (5587), (5588), (5593), (5597),
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5602), (function-axioms) are inconsistent by
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #838.
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | (5603) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5603) gives:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5604) all_56_11 = e3 & op(e1, e0) = e3
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (5031),
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | (5552), (5604), (function-axioms) are inconsistent
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #835.
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5605) all_56_15 = e3 & op(e0, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5605) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5606) op(e0, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5606), (function-axioms) are
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5607) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5562), (5607) are
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (5608) ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (5608) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (5609) ~ (all_30_1 = e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (5610) op(e1, e3) = all_30_1
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5611) all_54_0 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (5611) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5612) all_6_2 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (5612) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5613) ~ (all_52_12 = e3)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5612) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5614) op(e3, e3) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (5615) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5615) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5616) all_56_9 = e3 & op(e3, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5616) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5617) op(e3, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5613), (5617), (function-axioms) are
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5618) all_56_10 = e3 & op(e2, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5618) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5619) op(e2, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (3644), (3646), (5022), (5031),
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5549), (5553), (5587), (5588), (5610), (5614),
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5619), (function-axioms) are inconsistent by
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #838.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (5620) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5621) all_56_11 = e3 & op(e1, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5621) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5622) all_56_11 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5022) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | (5623) ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_20_1 & $i(all_20_0) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5623) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | (5624) op(e1, e3) = all_20_1
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (213), (215), (5031), (5552),
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | (5609), (5610), (5622), (5624), (function-axioms)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #834.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | (5625) ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | (5626) op(e1, e3) = all_20_1
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (213), (215), (5031), (5552),
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | (5609), (5610), (5622), (5626), (function-axioms)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #834.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5627) all_56_15 = e3 & op(e0, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5627) implies:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (5628) op(e0, e0) = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5628), (function-axioms) are
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5629) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5562), (5629) are
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | (5630) all_56_5 = e1 & op(e2, e1) = e1
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | ALPHA: (5630) implies:
% 188.52/28.88 | | | | | | | | | | | | | (5631) op(e2, e1) = e1
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | REF_CLOSE: (165), (5547), (5631), (function-axioms) are
% 188.52/28.88 | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | (5632) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.52/28.88 | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | REF_CLOSE: (8), (157), (3642), (5031), (5632),
% 188.52/28.88 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.88 | | | | | | | | | | | | #1235.
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | (5633) all_56_7 = e1 & op(e1, e2) = e1
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | ALPHA: (5633) implies:
% 188.52/28.88 | | | | | | | | | | | (5634) op(e1, e2) = e1
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | REF_CLOSE: (162), (5546), (5634), (function-axioms) are
% 188.52/28.88 | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | (5635) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.52/28.88 | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | REF_CLOSE: (8), (160), (3645), (5031), (5635),
% 188.52/28.88 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.88 | | | | | | | | | | #1770.
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | |
% 188.52/28.88 | | | | | | | | End of split
% 188.52/28.88 | | | | | | | |
% 188.52/28.88 | | | | | | | End of split
% 188.52/28.88 | | | | | | |
% 188.52/28.88 | | | | | | End of split
% 188.52/28.88 | | | | | |
% 188.52/28.88 | | | | | End of split
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | Case 2:
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | (5636) all_12_2 = e2
% 188.52/28.88 | | | | | (5637) ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3,
% 188.52/28.88 | | | | | e2) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 188.52/28.88 | | | | | (all_12_1 = e1) & op(e3, e2) = all_12_1 & $i(all_12_1))
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | COMBINE_EQS: (324), (5636) imply:
% 188.52/28.88 | | | | | (5638) all_6_2 = e2
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | COMBINE_EQS: (281), (5638) imply:
% 188.52/28.88 | | | | | (5639) all_46_2 = e2
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | REDUCE: (338), (5638) imply:
% 188.52/28.88 | | | | | (5640) ~ (all_52_1 = e2)
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | REDUCE: (340), (5638) imply:
% 188.52/28.88 | | | | | (5641) ~ (all_52_2 = e2)
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | REDUCE: (342), (5638) imply:
% 188.52/28.88 | | | | | (5642) ~ (all_52_3 = e2)
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | REDUCE: (344), (5638) imply:
% 188.52/28.88 | | | | | (5643) ~ (all_52_4 = e2)
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | REDUCE: (346), (5638) imply:
% 188.52/28.88 | | | | | (5644) ~ (all_52_8 = e2)
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | REDUCE: (348), (5638) imply:
% 188.52/28.88 | | | | | (5645) ~ (all_52_12 = e2)
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | BETA: splitting (234) gives:
% 188.52/28.88 | | | | |
% 188.52/28.88 | | | | | Case 1:
% 188.52/28.88 | | | | | |
% 188.52/28.88 | | | | | | (5646) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 188.52/28.88 | | | | | | op(e3, e2) = e2)
% 188.52/28.88 | | | | | |
% 188.52/28.88 | | | | | | BETA: splitting (5646) gives:
% 188.52/28.88 | | | | | |
% 188.52/28.88 | | | | | | Case 1:
% 188.52/28.88 | | | | | | |
% 188.52/28.88 | | | | | | | (5647) all_56_0 = e2 & op(e3, e3) = e2
% 188.52/28.88 | | | | | | |
% 188.52/28.88 | | | | | | | ALPHA: (5647) implies:
% 188.52/28.88 | | | | | | | (5648) all_56_0 = e2
% 188.52/28.88 | | | | | | | (5649) op(e3, e3) = e2
% 188.52/28.88 | | | | | | |
% 188.52/28.88 | | | | | | | BETA: splitting (52) gives:
% 188.52/28.88 | | | | | | |
% 188.52/28.88 | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | |
% 188.52/28.88 | | | | | | | | (5650) ~ (all_14_2 = e1)
% 188.52/28.88 | | | | | | | |
% 188.52/28.88 | | | | | | | | BETA: splitting (58) gives:
% 188.52/28.88 | | | | | | | |
% 188.52/28.88 | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | |
% 188.52/28.88 | | | | | | | | | (5651) ~ (all_18_2 = e3)
% 188.52/28.88 | | | | | | | | |
% 188.52/28.88 | | | | | | | | | REDUCE: (301), (5651) imply:
% 188.52/28.88 | | | | | | | | | (5652) ~ (all_14_2 = e3)
% 188.52/28.88 | | | | | | | | |
% 188.52/28.88 | | | | | | | | | BETA: splitting (61) gives:
% 188.52/28.88 | | | | | | | | |
% 188.52/28.88 | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | (5653) ~ (all_20_2 = e3)
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | REDUCE: (325), (5653) imply:
% 188.52/28.88 | | | | | | | | | | (5654) ~ (all_10_2 = e3)
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | BETA: splitting (64) gives:
% 188.52/28.88 | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | (5655) ~ (all_22_2 = e0)
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | REDUCE: (251), (5655) imply:
% 188.52/28.88 | | | | | | | | | | | (5656) ~ (all_10_2 = e0)
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | BETA: splitting (194) gives:
% 188.52/28.88 | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | (5657) all_54_10 = e3
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | COMBINE_EQS: (336), (5657) imply:
% 188.52/28.88 | | | | | | | | | | | | (5658) all_10_2 = e3
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | REDUCE: (5654), (5658) imply:
% 188.52/28.88 | | | | | | | | | | | | (5659) $false
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | CLOSE: (5659) is inconsistent.
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | (5660) ~ (all_54_10 = e3)
% 188.52/28.88 | | | | | | | | | | | | (5661) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | BETA: splitting (5661) gives:
% 188.52/28.88 | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | (5662) all_54_10 = e2
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | COMBINE_EQS: (336), (5662) imply:
% 188.52/28.88 | | | | | | | | | | | | | (5663) all_10_2 = e2
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | REDUCE: (375), (5663) imply:
% 188.52/28.88 | | | | | | | | | | | | | (5664) $false
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | CLOSE: (5664) is inconsistent.
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | (5665) ~ (all_54_10 = e2)
% 188.52/28.88 | | | | | | | | | | | | | (5666) all_54_10 = e1 | all_54_10 = e0
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | BETA: splitting (5666) gives:
% 188.52/28.88 | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | (5667) all_54_10 = e1
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | COMBINE_EQS: (336), (5667) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5668) all_10_2 = e1
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (350), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5669) ~ (all_52_2 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (361), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5670) ~ (all_52_6 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (363), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5671) ~ (all_52_8 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (364), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5672) ~ (all_52_9 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (366), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5673) ~ (all_52_11 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (368), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5674) ~ (all_52_14 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (5654), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5675) ~ (e3 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (375), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5676) ~ (e2 = e1)
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | REDUCE: (45), (5668) imply:
% 188.52/28.88 | | | | | | | | | | | | | | (5677) op(e1, e1) = e1
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 188.52/28.88 | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | (5678) ~ (all_24_2 = e1)
% 188.52/28.88 | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | REDUCE: (318), (5678) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | (5679) ~ (all_4_2 = e1)
% 188.52/28.88 | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.52/28.88 | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | (5680) ~ (all_28_2 = e2)
% 188.52/28.88 | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | REDUCE: (330), (5680) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | (5681) ~ (all_14_2 = e2)
% 188.52/28.88 | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | (5682) all_54_15 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5682) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | (5683) all_14_2 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | REDUCE: (5652), (5683) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | (5684) $false
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | CLOSE: (5684) is inconsistent.
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | (5685) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | BETA: splitting (5685) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | (5686) all_54_15 = e2
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5686) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | (5687) all_14_2 = e2
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | REDUCE: (5681), (5687) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | (5688) $false
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | CLOSE: (5688) is inconsistent.
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | (5689) ~ (all_54_15 = e2)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | (5690) all_54_15 = e1 | all_54_15 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | BETA: splitting (5690) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5691) all_54_15 = e1
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5691) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5692) all_14_2 = e1
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (5650), (5692) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5693) $false
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | CLOSE: (5693) is inconsistent.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5694) all_54_15 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5694) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5695) all_14_2 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (5695) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5696) ~ (all_52_3 = e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (5695) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5697) ~ (all_52_7 = e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5695) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5698) ~ (all_52_11 = e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (5695) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5699) ~ (all_52_14 = e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (5681), (5695) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5700) ~ (e2 = e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (5650), (5695) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5701) ~ (e1 = e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5695) imply:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | (5702) op(e0, e0) = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (5703) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5703) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5704) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5704) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (5705) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5705), (function-axioms) are
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (5706) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (5669), (5706),
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | #1973.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (5707) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5707) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (5708) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5677), (5702), (5708),
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | #1944.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (5709) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (5670), (5679), (5709),
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | | #1968.
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (5710) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5710) gives:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | (5711) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5711) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | (5712) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (5713) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5713) implies:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (5714) op(e0, e0) = e1
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5690), (5714),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | #1642.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (5715) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5715) implies:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (5716) op(e3, e3) = e1
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5716), (function-axioms) are
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | (5717) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5717) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (5718) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5718) implies:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (5719) op(e0, e0) = e1
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5690), (5719),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | #1642.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | (5720) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5720) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5721) implies:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_57_9 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5723) ~ (all_57_11 = e2)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5724) ~ (all_57_10 = e0)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5725) op(e2, e0) = all_57_11
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5726) op(e2, e2) = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5727) op(e3, e0) = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5728) op(e3, e3) = all_57_10
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11, e0, e2, simplifying with (164), (5725)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_57_11 = all_52_13
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (36), (5726) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5730) all_4_2 = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (5727) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5731) all_52_12 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10, e3, e3, simplifying with (5649), (5728)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5732) all_57_10 = e2
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (5730) imply:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5733) all_36_2 = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5723), (5729) imply:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5734) ~ (all_52_13 = e2)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5731) imply:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5735) ~ (all_52_4 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5731) imply:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5736) ~ (all_52_13 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5736) implies:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5737) ~ (all_52_13 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5731) imply:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5738) ~ (all_52_14 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5738) implies:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5739) ~ (all_52_14 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5730) imply:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5740) ~ (all_52_13 = e0)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (5730) imply:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | (5741) ~ (e3 = e0)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | (5742) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (5649), (5726),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | (5733), (5737), (5742), (function-axioms) are
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #832.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | (5743) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5743) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) all_56_6 = e0 & op(e1, e3) = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5744) implies:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) all_56_6 = e0
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5746) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5747) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (5735), (5748),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1530.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (5649), (5669), (5749),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #831.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5750) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (5649), (5696), (5751),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #830.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (5670), (5726), (5752),
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1731.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5753) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5754) gives:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5734), (5740), (5755), (function-axioms)
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (5649), (5699), (5722), (5756),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #828.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5757) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (5726), (5758),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #827.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5759) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5760) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (5649), (5735), (5762),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #826.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5763) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_56_4 = e3 & op(e3, e1) = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5764) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) op(e3, e1) = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (5727), (5765),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1912.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) all_56_9 = e3 & op(e3, e0) = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5766) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) all_56_9 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5768) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) all_56_0 = e1 & op(e3, e3) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5769) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) op(e3, e3) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5770), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) all_56_1 = e1 & op(e3, e2) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5771) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_56_1 = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5761) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) all_57_12 = e1 & op(e2, e2) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5773) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) op(e2, e2) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5726), (5774), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5775) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) ~ (all_57_7 = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) op(e2, e1) = all_57_7
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5778) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) all_56_6 = e3 & op(e1, e3) = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5745), (5779) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1578.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) all_56_7 = e3 & op(e1, e2) = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5780) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) all_56_7 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) op(e1, e2) = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (5643), (5726), (5783),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5784) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_56_7 = e2 & op(e1, e2) = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5785) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) op(e1, e2) = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5782), (5786), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #823.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_56_13 = e2 & op(e0, e2) = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5787) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) all_56_13 = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5789) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_56_2 = e2 & op(e2, e3) = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5790) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) op(e2, e3) = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5791), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1785.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_56_3 = e2 & op(e2, e2) = e2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (5772), (5781), (5788),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792), (function-axioms) are inconsistent by
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #822.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5734), (5776), (5777), (5793),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #821.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5677), (5739), (5794),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1055.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5795) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) all_56_4 = e1 & op(e3, e1) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5796) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) op(e3, e1) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5671), (5797), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) all_56_9 = e1 & op(e3, e0) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5767), (5798) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #820.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5799) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (5722), (5800), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #829.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) all_56_12 = e0 & op(e0, e3) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5801) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) op(e0, e3) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5696), (5802), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1935.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (5803) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5803) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (5804) op(e1, e1) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5804), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | (5805) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5805) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | (5806) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (5806), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | (5807) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5807) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | (5808) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5808) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | (5809) op(e1, e1) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5809), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | (5810) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5810) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (5811) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5811) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (5812) op(e1, e0) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5674), (5812), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (5813) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5813) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (5814) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5814) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | (5815) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (158), (159), (373), (5696), (5697), (5815),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | (5816) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5816) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5817) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) op(e0, e2) = e0
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5697), (5818), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5819) gives:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5820) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) op(e3, e3) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (5677), (5679),
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696), (5698), (5814), (5821), (function-axioms)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1930.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5822) implies:
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) op(e2, e2) = e1
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (5679), (5823), (function-axioms) are
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.90 | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | (5824) all_28_2 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (5824) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | (5825) all_14_2 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | SIMP: (5825) implies:
% 188.52/28.91 | | | | | | | | | | | | | | | | (5826) all_14_2 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | REDUCE: (369), (5826) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | (5827) ~ (all_52_11 = e2)
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | REDUCE: (371), (5826) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | (5828) ~ (all_52_13 = e2)
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | REDUCE: (5652), (5826) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | (5829) ~ (e3 = e2)
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | REDUCE: (51), (5826) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | (5830) op(e0, e0) = e2
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | (5831) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.91 | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.91 | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.91 | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | BETA: splitting (5831) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (5832) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | BETA: splitting (5832) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (5833) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5833), (function-axioms) are
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (5834) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (5669), (5834),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | #1973.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (5835) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | BETA: splitting (5835) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (5836) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (5836) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5837) all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (5837) implies:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5838) ~ (all_57_10 = e2)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5839) op(e3, e2) = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (36), (157), (163), (164), (169),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (219), (239), (373), (5644), (5649), (5669),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5673), (5679), (5827), (5828), (5830), (5838),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5839), (function-axioms) are inconsistent by
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | sub-proof #812.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5840) all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (5840) implies:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5841) ~ (all_57_10 = e2)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5842) op(e3, e2) = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (36), (157), (163), (164), (169),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (219), (239), (373), (5644), (5649), (5669),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5673), (5679), (5827), (5828), (5830), (5841),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5842), (function-axioms) are inconsistent by
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | sub-proof #812.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (5843) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (5670), (5679), (5843),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | #1968.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | (5844) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.91 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.91 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.52/28.91 | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.91 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | BETA: splitting (5844) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (5845) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.91 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | BETA: splitting (5845) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (5846) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5830), (5846), (function-axioms) are
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #811.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (5847) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (5847) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5848) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (5848) implies:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5849) op(e0, e0) = e1
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5830), (5849), (function-axioms) are
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | (5850) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5850) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | (5851) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5851) implies:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | (5852) op(e2, e0) = all_57_11
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | (5853) op(e2, e2) = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | (5854) op(e3, e0) = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | (5855) op(e3, e3) = all_57_10
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | (5856) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5856) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5857) all_56_4 = e2 & op(e3, e1) = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (5857), (function-axioms) are
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5858) all_56_5 = e2 & op(e2, e1) = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5858) implies:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5859) op(e2, e1) = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_11, e0, e2, simplifying with (164), (5852)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5860) all_57_11 = all_52_13
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5859) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5861) all_52_9 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (36), (5853) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5862) all_4_2 = e0
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (5854) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5863) all_52_12 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_10, e3, e3, simplifying with (5649), (5855)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5864) all_57_10 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5863) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5865) ~ (all_52_4 = e3)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5861) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5866) ~ (all_52_13 = e2)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5862) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5867) ~ (all_52_13 = e0)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (5862) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5868) ~ (e3 = e0)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5679), (5862) imply:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | (5869) ~ (e1 = e0)
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (5870) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5870) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | (5871) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5871) gives:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (5872) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (5865), (5872),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | #1530.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (5873) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (5649), (5669), (5873),
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | | #831.
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5874) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5874) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (5854), (5875),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (5670), (5853), (5876),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #1731.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5877) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5877) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5878) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5878) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5828), (5867), (5879), (function-axioms)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (5673), (5830), (5880),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #1730.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5881) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5881) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (5853), (5882),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #827.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (5830), (5853), (5859), (5883),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #1717.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | (5884) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5884) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | (5885) all_56_8 = e2 & op(e1, e1) = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5885) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | (5886) op(e1, e1) = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5677), (5886), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | (5887) all_56_14 = e2 & op(e0, e1) = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5827), (5887), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #808.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (5888) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5888) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (5889) op(e1, e1) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5889), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | (5890) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.92 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.92 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | BETA: splitting (5890) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | (5891) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (5891), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | (5892) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (5892) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | (5893) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (5893) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | (5894) op(e2, e0) = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5828), (5894), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | (5895) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5895) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (5896) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5896) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (5897) op(e1, e0) = e1
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5674), (5897), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (5898) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5898) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (5899) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5899) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | (5900) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5900) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | (5901) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5901) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | (5902) op(e2, e2) = e3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5902), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | (5903) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5903) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5904) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5904) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5905) op(e1, e1) = e3
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5677), (5905), (function-axioms) are
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5906) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5907) ~ (all_57_15 = e2)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5908) op(e0, e2) = e0
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (36), (157), (162), (163),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (164), (169), (219), (239), (373), (5644), (5649),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5669), (5670), (5673), (5677), (5679), (5827),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (5828), (5830), (5899), (5907), (5908),
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | | #805.
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | (5909) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5909) gives:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5910) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5910) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5911) ~ (all_57_15 = e2)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5912) op(e0, e2) = e0
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (36), (157), (162), (163),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (164), (169), (219), (239), (373), (5644), (5649),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5669), (5670), (5673), (5677), (5679), (5827),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5828), (5830), (5899), (5911), (5912),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | #805.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5913) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (5649), (5679), (5913),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | #804.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | (5914) all_24_2 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | (5915) ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 188.52/28.93 | | | | | | | | | | | | | | | & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 188.52/28.93 | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 188.52/28.93 | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | COMBINE_EQS: (318), (5914) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | (5916) all_4_2 = e1
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5916) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | (5917) all_44_2 = e1
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | REDUCE: (352), (5916) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | (5918) ~ (all_52_4 = e1)
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | REDUCE: (356), (5916) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | (5919) ~ (all_52_7 = e1)
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | REDUCE: (36), (5916) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | (5920) op(e2, e2) = e1
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.52/28.93 | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | (5921) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | BETA: splitting (5921) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5922) all_56_0 = e1 & op(e3, e3) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | ALPHA: (5922) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5923) op(e3, e3) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5923), (function-axioms) are
% 188.52/28.93 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5924) all_56_2 = e1 & op(e2, e3) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | ALPHA: (5924) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5925) all_56_2 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | (5926) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (229), (235),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | (5649), (5919), (5925), (5926), (function-axioms)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #801.
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | (5927) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (5650), (5673), (5927),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.93 | | | | | | | | | | | | | | | | | | #1680.
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | (5928) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.52/28.93 | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | BETA: splitting (5928) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5929) all_56_6 = e1 & op(e1, e3) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | ALPHA: (5929) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5930) op(e1, e3) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5669), (5930), (function-axioms) are
% 188.52/28.93 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5931) all_56_12 = e1 & op(e0, e3) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | ALPHA: (5931) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5932) all_56_12 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | (5933) op(e0, e3) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | (5934) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5649), (5918), (5934),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.93 | | | | | | | | | | | | | | | | | | #800.
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | (5935) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5936) all_56_4 = e1 & op(e3, e1) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | ALPHA: (5936) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5937) op(e3, e1) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5671), (5937), (function-axioms) are
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5938) all_56_9 = e1 & op(e3, e0) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | ALPHA: (5938) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5939) all_56_9 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5940) op(e3, e0) = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (5933) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5941) all_52_3 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (5940) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5942) all_52_12 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5941) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5943) ~ (all_52_1 = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5941) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5944) ~ (all_52_7 = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5941) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5945) ~ (all_52_11 = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5942) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5946) ~ (all_52_14 = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (5942) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | (5947) ~ (all_14_2 = e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | (5948) ~ (all_28_2 = e2)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (5948) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | (5949) ~ (all_14_2 = e2)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | (5950) all_54_15 = e3
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5652), (5950) are inconsistent by
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | sub-proof #1675.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | (5951) ~ (all_54_15 = e3)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | (5952) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5952) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | (5953) all_54_15 = e2
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5949), (5953) are inconsistent by
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1648.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | (5954) ~ (all_54_15 = e2)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | (5955) all_54_15 = e1 | all_54_15 = e0
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5955) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5956) all_54_15 = e1
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5650), (5956) are inconsistent by
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1660.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5957) all_54_15 = e0
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5957) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5958) all_14_2 = e0
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5958) implies:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5959) all_14_2 = e0
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (5959) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5960) ~ (all_52_7 = e0)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5959) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5961) ~ (all_52_11 = e0)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (5959) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5962) ~ (all_52_13 = e0)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5652), (5959) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5963) ~ (e3 = e0)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5949), (5959) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5964) ~ (e2 = e0)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5650), (5959) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5965) ~ (e1 = e0)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5959) imply:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | (5966) op(e0, e0) = e0
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | (5967) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5967) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | (5968) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5968) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5969), (function-axioms) are
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (5669), (5920), (5970),
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | (5971) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5971) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5649), (5972), (function-axioms) are inconsistent
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #798.
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5973) gives:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.52/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5974) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) op(e1, e2) = e1
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5670), (5975), (function-axioms) are
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5976) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5977) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) op(e1, e2) = e1
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5670), (5978), (function-axioms) are
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5979) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_57_6 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) ~ (all_57_10 = e1)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) ~ (all_57_7 = e2)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) op(e2, e1) = all_57_7
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) op(e3, e1) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) op(e3, e3) = all_57_10
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7, e1, e2, simplifying with (165), (5983)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) all_57_7 = all_52_9
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (5984) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) all_52_8 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10, e3, e3, simplifying with (5649), (5985)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) all_57_10 = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5982), (5986) imply:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) ~ (all_52_9 = e2)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (5987) imply:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) ~ (all_52_9 = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5990) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) ~ (all_52_9 = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (5987) imply:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) ~ (all_52_11 = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5992) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) ~ (all_52_11 = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5994) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) all_56_4 = e3 & op(e3, e1) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5995) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) all_56_4 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (5920), (5997),
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #797.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5998) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) all_56_5 = e2 & op(e2, e1) = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5999) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) op(e2, e1) = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5989), (6000), (function-axioms) are
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) all_56_10 = e2 & op(e2, e0) = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6001) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_56_10 = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) op(e2, e0) = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6004) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) all_56_2 = e3 & op(e2, e3) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6005) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) all_56_2 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) op(e2, e3) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6008) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) all_56_2 = e0 & op(e2, e3) = e0
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6009) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) all_56_2 = e0
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6006), (6010) are inconsistent by sub-proof
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1711.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) all_56_3 = e0 & op(e2, e2) = e0
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6011) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) op(e2, e2) = e0
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5920), (6012), (function-axioms) are
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6013) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_56_5 = e0 & op(e2, e1) = e0
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6014) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) all_56_5 = e0
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6016) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) all_56_9 = e3 & op(e3, e0) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6017) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) op(e3, e0) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (5984), (6018),
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1912.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_56_10 = e3 & op(e2, e0) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6019) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) all_56_10 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (5920), (6007), (6015),
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020), (function-axioms) are inconsistent by
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1166.
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6021) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) all_56_11 = e3 & op(e1, e0) = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6022) implies:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) all_56_11 = e3
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6024) gives:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) all_56_6 = e2 & op(e1, e3) = e2
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6025), (function-axioms) are
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6026) all_56_7 = e2 & op(e1, e2) = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6026) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_56_7 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) all_54_14 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5993), (6028) are inconsistent by
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1260.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6029) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6030) all_54_14 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6030) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_52_11 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6031) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) all_52_11 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6032) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) ~ (all_52_7 = e2)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) all_54_13 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (6034) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) all_52_7 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6035) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) all_52_7 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6036) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) ~ (all_52_4 = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6036) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) ~ (all_52_6 = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6039) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) all_56_0 = e0 & op(e3, e3) = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6040) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) op(e3, e3) = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6041), (function-axioms) are
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) all_56_1 = e0 & op(e3, e2) = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6042) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_56_1 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) all_54_6 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6044) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) all_52_9 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5991), (6045) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) $false
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6046) is inconsistent.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6047) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) all_54_6 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6048) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) all_52_9 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5989), (6049) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) $false
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6050) is inconsistent.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) ~ (all_54_6 = e2)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) all_54_6 = e1 | all_54_6 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (5920), (6037), (6053),
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1347.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6054) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) all_56_7 = e3 & op(e1, e2) = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6055) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) op(e1, e2) = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6038), (6056), (function-axioms) are
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) all_56_13 = e3 & op(e0, e2) = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6057) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_56_13 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6052) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) all_54_6 = e1
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5672), (6059) are inconsistent by
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #795.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) all_54_6 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6060) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) all_52_9 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6061) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) all_52_9 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6062) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) ~ (all_52_1 = e0)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (6062) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) ~ (all_52_13 = e0)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) all_54_4 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6065) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) all_52_1 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6066) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_52_1 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6067) imply:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) ~ (all_52_2 = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6068) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6069) ~ (all_52_2 = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6070) all_54_8 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (6069), (6070) are inconsistent by
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6071) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_54_8 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5641), (6072) are inconsistent by
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073) all_54_8 = e1 | all_54_8 = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6074) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6075) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6076) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (5920), (6037), (6076),
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5669), (5981), (5985), (6077),
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #794.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6078) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6079) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6080) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6080) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6081) op(e3, e3) = e0
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6081), (function-axioms) are
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6082) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6082) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6083) op(e0, e0) = e3
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5652), (5955), (6083),
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1647.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6084) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6084) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6085) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6085) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6086) (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5980), (5981), (6086) are inconsistent by
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #935.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6087) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6087) implies:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6088) op(e1, e2) = e1
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5670), (6088), (function-axioms) are
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6089) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6089) gives:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6090) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6090) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6091) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6091) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6092) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6092) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) op(e2, e2) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6043),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058), (6093), (function-axioms) are inconsistent
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1308.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6094) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6094) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6095) op(e2, e0) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5962), (6095), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6096) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (157), (160), (259), (5669), (5673),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073), (6096), (function-axioms) are inconsistent
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #793.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6097) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6097) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6098) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6098) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6099) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6099) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6100) op(e3, e3) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932), (6006), (6100), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6101) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6101) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6102) op(e2, e2) = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (373), (5918), (6027), (6102),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1764.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6103) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6104) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6105) (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5980), (5981), (6105) are inconsistent by
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #935.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6106) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6106) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107) (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6108) (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6107) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) all_57_12 = e0 & op(e2, e2) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6109) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) op(e2, e2) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6043),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058), (6110), (function-axioms) are inconsistent
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1308.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6111) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) op(e2, e0) = all_57_11
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6108) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) all_57_10 = e0 & op(e3, e3) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6113) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) op(e3, e3) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6114), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11, e0, e2, simplifying with (6003), (6112)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) all_57_11 = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (5918), (6043), (6058),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107), (6115), (function-axioms) are inconsistent
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1327.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (5943), (6063), (6116) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6117) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) all_56_4 = e0 & op(e3, e1) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5996), (6118) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #978.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) all_56_9 = e0 & op(e3, e0) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6119) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) all_56_9 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5939), (6120) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1030.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (5919), (5960), (6033), (6121) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1651.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) all_54_14 = e1 | all_54_14 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5673), (5961), (6122) are inconsistent by
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1737.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6123) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) all_56_8 = e2 & op(e1, e1) = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6124) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) op(e1, e1) = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5677), (6125), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) all_56_11 = e2 & op(e1, e0) = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6126) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) all_56_11 = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6023), (6127) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1619.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) all_56_15 = e3 & op(e0, e0) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6128) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) op(e0, e0) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5652), (5955), (6129),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1647.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) all_56_10 = e0 & op(e2, e0) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6130) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) op(e2, e0) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5962), (6131), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) all_56_3 = e3 & op(e2, e2) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6132) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) op(e2, e2) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5920), (6133), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6134) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6135) all_56_5 = e3 & op(e2, e1) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6135) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) op(e2, e1) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5991), (6136), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) all_56_10 = e3 & op(e2, e0) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6137) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) all_56_10 = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6002), (6138) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1399.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) all_56_5 = e3 & op(e2, e1) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6139) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) op(e2, e1) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5991), (6140), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6141) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) all_56_8 = e3 & op(e1, e1) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6142) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) op(e1, e1) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5677), (6143), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) all_56_14 = e3 & op(e0, e1) = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6144) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_56_14 = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5644), (5989), (6146),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #792.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5677), (6145), (6147),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (6148) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6148) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | (6149) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6149) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (5966), (6150),
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | #791.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6151) gives:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6152) implies:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) op(e0, e0) = e1
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5966), (6153), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5920), (6154), (function-axioms) are
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1676.
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6155) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6155) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6156), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6157) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6158) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) op(e1, e1) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (6159), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6160) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6161) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) op(e1, e0) = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5674), (6162), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6163) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (5649), (5677), (5920),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960), (5961), (6164), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #789.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6165) all_28_2 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (6165) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6166) all_14_2 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | SIMP: (6166) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6167) all_14_2 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (6167) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6168) ~ (all_52_13 = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6167) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6169) op(e0, e0) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | (6170) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (5920), (6170),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | #797.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | (6171) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6171) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6172) all_56_5 = e2 & op(e2, e1) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6172) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6173) op(e2, e1) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6173) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6174) all_52_9 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6175) ~ (all_44_2 = e1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5917), (6175) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6176) $false
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6176) is inconsistent.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6177) ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_44_1 & $i(all_44_0) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)) | ( ~ (all_44_1 = e3) & op(e2, e1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6177) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6178) ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_44_1 & $i(all_44_0) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6178) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6179) op(e2, e1) = all_44_1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (117), (160), (162), (163),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (238), (5640), (5649),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (5669), (5670), (5674), (5677), (5915), (5920),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6169), (6173), (6179), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #785.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6180) ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6180) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6181) op(e2, e1) = all_44_1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (117), (160), (162), (163),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (238), (5640), (5649),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (5669), (5670), (5674), (5677), (5915), (5920),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6169), (6173), (6181), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #785.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6182) all_56_10 = e2 & op(e2, e0) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6182) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6183) op(e2, e0) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6168), (6183), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | (6184) all_54_10 = e0
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | COMBINE_EQS: (336), (6184) imply:
% 188.66/28.96 | | | | | | | | | | | | | | (6185) all_10_2 = e0
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | REDUCE: (5656), (6185) imply:
% 188.66/28.96 | | | | | | | | | | | | | | (6186) $false
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | CLOSE: (6186) is inconsistent.
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | (6187) all_22_2 = e0
% 188.66/28.96 | | | | | | | | | | | (6188) ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 188.66/28.96 | | | | | | | | | | | & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.66/28.96 | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 188.66/28.96 | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | COMBINE_EQS: (251), (6187) imply:
% 188.66/28.96 | | | | | | | | | | | (6189) all_10_2 = e0
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | COMBINE_EQS: (333), (6189) imply:
% 188.66/28.96 | | | | | | | | | | | (6190) all_38_2 = e0
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | REDUCE: (350), (6189) imply:
% 188.66/28.96 | | | | | | | | | | | (6191) ~ (all_52_2 = e0)
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | REDUCE: (366), (6189) imply:
% 188.66/28.96 | | | | | | | | | | | (6192) ~ (all_52_11 = e0)
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | REDUCE: (368), (6189) imply:
% 188.66/28.96 | | | | | | | | | | | (6193) ~ (all_52_14 = e0)
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | REDUCE: (5654), (6189) imply:
% 188.66/28.96 | | | | | | | | | | | (6194) ~ (e3 = e0)
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | REDUCE: (375), (6189) imply:
% 188.66/28.96 | | | | | | | | | | | (6195) ~ (e2 = e0)
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | REDUCE: (45), (6189) imply:
% 188.66/28.96 | | | | | | | | | | | (6196) op(e1, e1) = e0
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | BETA: splitting (67) gives:
% 188.66/28.96 | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | (6197) ~ (all_24_2 = e1)
% 188.66/28.96 | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | REDUCE: (318), (6197) imply:
% 188.66/28.96 | | | | | | | | | | | | (6198) ~ (all_4_2 = e1)
% 188.66/28.96 | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.66/28.96 | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | (6199) ~ (all_28_2 = e2)
% 188.66/28.96 | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | REDUCE: (330), (6199) imply:
% 188.66/28.96 | | | | | | | | | | | | | (6200) ~ (all_14_2 = e2)
% 188.66/28.96 | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.66/28.96 | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | (6201) all_54_15 = e3
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | REF_CLOSE: (246), (5652), (6201) are inconsistent by
% 188.66/28.96 | | | | | | | | | | | | | | sub-proof #1675.
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | (6202) ~ (all_54_15 = e3)
% 188.66/28.96 | | | | | | | | | | | | | | (6203) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | BETA: splitting (6203) gives:
% 188.66/28.96 | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | (6204) all_54_15 = e2
% 188.66/28.96 | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | REF_CLOSE: (246), (6200), (6204) are inconsistent by
% 188.66/28.96 | | | | | | | | | | | | | | | sub-proof #1648.
% 188.66/28.96 | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | (6205) ~ (all_54_15 = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | (6206) all_54_15 = e1 | all_54_15 = e0
% 188.66/28.96 | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | BETA: splitting (6206) gives:
% 188.66/28.96 | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | (6207) all_54_15 = e1
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5650), (6207) are inconsistent by
% 188.66/28.96 | | | | | | | | | | | | | | | | sub-proof #1660.
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | (6208) all_54_15 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6208) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | (6209) all_14_2 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | SIMP: (6209) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | (6210) all_14_2 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | REDUCE: (351), (6210) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | (6211) ~ (all_52_3 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | REDUCE: (370), (6210) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | (6212) ~ (all_52_12 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | REDUCE: (5650), (6210) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | (6213) ~ (e1 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | REDUCE: (51), (6210) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | (6214) op(e0, e0) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | (6215) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | BETA: splitting (6215) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | (6216) all_56_0 = e0 & op(e3, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | ALPHA: (6216) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | (6217) op(e3, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6217), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | (6218) all_56_1 = e0 & op(e3, e2) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | ALPHA: (6218) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | (6219) all_56_1 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | (6220) op(e3, e2) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | (6221) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (6221) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6222) all_56_0 = e0 & op(e3, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (6222) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6223) op(e3, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6223), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6224) all_56_2 = e0 & op(e2, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (6224) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6225) all_56_2 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6226) op(e2, e3) = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6226) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6227) all_52_1 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (6220) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6228) all_52_4 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6227) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6229) ~ (all_52_2 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6227) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6230) ~ (all_52_3 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6227) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6231) ~ (all_52_9 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | SIMP: (6231) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6232) ~ (all_52_9 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6227) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6233) ~ (all_52_13 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | SIMP: (6233) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6234) ~ (all_52_13 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6228) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6235) ~ (all_52_7 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | SIMP: (6235) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6236) ~ (all_52_7 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6228) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6237) ~ (all_52_12 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (6228) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6238) ~ (all_4_2 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | SIMP: (6238) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | (6239) ~ (all_4_2 = e0)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | (6240) ~ (all_46_2 = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5639), (6240) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | (6241) $false
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6241) is inconsistent.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | (6242) ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6243) all_54_5 = e3
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6243) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6244) all_4_2 = e3
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6244) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6245) $false
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6245) is inconsistent.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6246) ~ (all_54_5 = e3)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | (6247) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6247) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6248) all_54_5 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6248) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6249) all_4_2 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (6249) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6250) ~ (all_52_9 = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6249) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6251) ~ (e3 = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6249) imply:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | (6252) op(e2, e2) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6253) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6253) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_56_6 = e2 & op(e1, e3) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6254), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_56_7 = e2 & op(e1, e2) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6255) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6256) all_56_7 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6257) op(e1, e2) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6258) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) all_56_1 = e1 & op(e3, e2) = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6259) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) all_56_1 = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6219), (6260) are inconsistent by sub-proof
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1628.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) all_56_3 = e1 & op(e2, e2) = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6261) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) op(e2, e2) = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6252), (6262), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6263) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) all_56_7 = e1 & op(e1, e2) = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6264) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) op(e1, e2) = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6257), (6265), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #784.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_56_13 = e1 & op(e0, e2) = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6266) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) all_56_13 = e1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (225), (228),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (6252), (6256), (6267), (function-axioms)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1863.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | (6268) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6268) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_56_8 = e2 & op(e1, e1) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6269) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6270) op(e1, e1) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6196), (6270), (function-axioms) are
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_56_11 = e2 & op(e1, e0) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6271) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_56_11 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6273) op(e1, e0) = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6242) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6274) implies:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) ~ (all_46_0 = e1)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) op(e3, e2) = all_46_1
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) op(all_46_1, e3) = all_46_0
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5644), (6250), (6278),
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | #792.
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6279) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) all_56_8 = e2 & op(e1, e1) = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6280) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) op(e1, e1) = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6196), (6281), (function-axioms) are
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) all_56_14 = e2 & op(e0, e1) = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6282) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) all_56_14 = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) op(e0, e1) = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6285) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) op(e3, e2) = all_12_1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) op(all_12_1, e3) = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (6284) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) all_52_11 = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (6273) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_52_14 = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6220), (6276) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) all_46_1 = e0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e2, e3, simplifying with (6276), (6286)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_46_1 = all_12_1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6290), (6291) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_12_1 = e0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6288) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) ~ (all_52_7 = e2)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6289) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) ~ (all_52_13 = e2)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6277), (6290) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) op(e0, e3) = all_46_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6287), (6292) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) op(e0, e3) = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) ~ (all_38_2 = e0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6190), (6297) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) $false
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6298) is inconsistent.
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6299) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6300) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) ~ (all_38_0 = e3)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) op(e1, e0) = all_38_1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) op(all_38_1, e1) = all_38_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6304) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) op(e1, e0) = all_22_1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0, e3, e0, simplifying with (159), (6296)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_52_3 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0, e3, e0, simplifying with (159), (6295)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_52_3 = all_46_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (6273), (6302) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) all_38_1 = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e0, e1, simplifying with (6302), (6305)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_38_1 = all_22_1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6306), (6307) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_46_0 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6310) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_46_0 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6308), (6309) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) all_22_1 = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6306) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_54_12 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6306) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) ~ (all_52_7 = all_12_0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6314) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) ~ (all_52_7 = all_12_0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5642), (6306) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) ~ (all_12_0 = e2)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6211), (6306) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) ~ (all_12_0 = e0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6275), (6311) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) ~ (all_12_0 = e1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6303), (6308) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) op(e2, e1) = all_38_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6320) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) all_56_12 = e1 & op(e0, e3) = e1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (158), (192), (209), (246),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650), (5652), (6206), (6283), (6313), (6315),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316), (6317), (6318), (6321), (function-axioms)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #780.
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) all_56_13 = e1 & op(e0, e2) = e1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6322) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_56_13 = e1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (128), (139), (157), (158), (159),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (191), (192), (198), (206), (207), (209),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (218), (220), (225), (228),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (238), (239), (246), (248),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (268), (349), (373), (5645), (5649),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650), (5652), (6191), (6192), (6193), (6196),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198), (6206), (6211), (6212), (6214), (6219),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225), (6232), (6234), (6236), (6239), (6247),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250), (6252), (6272), (6283), (6293), (6294),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301), (6313), (6315), (6316), (6317), (6318),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319), (6323), (function-axioms) are inconsistent
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #769.
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6214), (6283), (6324),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6325) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) ~ (all_22_1 = e3)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) op(e1, e0) = all_22_1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0, e3, e0, simplifying with (159), (6296)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_52_3 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0, e3, e0, simplifying with (159), (6295)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_52_3 = all_46_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (6273), (6302) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) all_38_1 = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e0, e1, simplifying with (6302), (6327)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) all_38_1 = all_22_1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6328), (6329) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) all_46_0 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6332) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) all_46_0 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6330), (6331) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_22_1 = e2
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6328) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) all_54_12 = all_12_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6328) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) ~ (all_52_7 = all_12_0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6336) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) ~ (all_52_7 = all_12_0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5642), (6328) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) ~ (all_12_0 = e2)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6211), (6328) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) ~ (all_12_0 = e0)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6275), (6333) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) ~ (all_12_0 = e1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6303), (6330) imply:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) op(e2, e1) = all_38_0
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6342) gives:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_56_12 = e1 & op(e0, e3) = e1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (158), (192), (209), (246),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650), (5652), (6206), (6283), (6335), (6337),
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338), (6339), (6340), (6343), (function-axioms)
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #780.
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) all_56_13 = e1 & op(e0, e2) = e1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6344) implies:
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) all_56_13 = e1
% 188.66/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (128), (139), (157), (158), (159),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (191), (192), (198), (206), (207), (209),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (218), (220), (225), (228),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (238), (239), (246), (248),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (268), (349), (373), (5645), (5649),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650), (5652), (6191), (6192), (6193), (6196),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198), (6206), (6211), (6212), (6214), (6219),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225), (6232), (6234), (6236), (6239), (6247),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250), (6252), (6272), (6283), (6293), (6294),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301), (6335), (6337), (6338), (6339), (6340),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341), (6345), (function-axioms) are inconsistent
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #769.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6214), (6283), (6346),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6273), (6347), (function-axioms) are inconsistent
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #768.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6348) implies:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) ~ (all_12_1 = e1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) op(e3, e2) = all_12_1
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (6284) gives:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_52_11 = e2
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (6273) gives:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_52_14 = e2
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6220), (6276) gives:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) all_46_1 = e0
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e2, e3, simplifying with (6276), (6350)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_46_1 = all_12_1
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6353), (6354) imply:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) all_12_1 = e0
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6351) imply:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) ~ (all_52_7 = e2)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6352) imply:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) ~ (all_52_13 = e2)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6277), (6353) imply:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) op(e0, e3) = all_46_0
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) ~ (all_38_2 = e0)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6190), (6359) imply:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) $false
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6360) is inconsistent.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6361) gives:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6362) implies:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) ~ (all_38_0 = e3)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) op(e1, e0) = all_38_1
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) op(all_38_1, e1) = all_38_0
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6366) implies:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) op(e1, e0) = all_22_1
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (128), (139), (140), (157), (158),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (191), (192), (198), (206), (207),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (214), (215), (216), (218), (220), (225),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (233), (238), (239), (246),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (261), (268), (349), (373), (5642),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645), (5649), (5650), (5652), (6191), (6192),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193), (6196), (6198), (6206), (6211), (6212),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214), (6219), (6225), (6232), (6234), (6236),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239), (6247), (6250), (6252), (6272), (6273),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275), (6283), (6356), (6357), (6358), (6363),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (6365), (6367), (function-axioms) are
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #766.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6368) implies:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) op(e1, e0) = all_22_1
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (128), (139), (140), (157), (158),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (191), (192), (198), (206), (207),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (214), (215), (216), (218), (220), (225),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (233), (238), (239), (246),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (261), (268), (349), (373), (5642),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645), (5649), (5650), (5652), (6191), (6192),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193), (6196), (6198), (6206), (6211), (6212),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214), (6219), (6225), (6232), (6234), (6236),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239), (6247), (6250), (6252), (6272), (6273),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275), (6283), (6356), (6357), (6358), (6363),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (6365), (6369), (function-axioms) are
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #766.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6273), (6370), (function-axioms) are inconsistent
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #768.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5637), (6220), (6371), (function-axioms) are
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #764.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | (6372) all_54_5 = e1 | all_54_5 = e0
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (6198), (6239), (6372) are inconsistent by
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1941.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | (6373) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.73/28.97 | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (6191), (6211), (6373),
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.97 | | | | | | | | | | | | | | | | | | | #1767.
% 188.73/28.97 | | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | (6374) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.73/28.97 | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 188.73/28.97 | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (218), (219),
% 188.73/28.97 | | | | | | | | | | | | | | | | | (220), (6196), (6212), (6374), (function-axioms)
% 188.73/28.97 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1639.
% 188.73/28.97 | | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | End of split
% 188.73/28.97 | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | Case 2:
% 188.73/28.97 | | | | | | | | | | | | |
% 188.73/28.97 | | | | | | | | | | | | | (6375) all_28_2 = e2
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | COMBINE_EQS: (330), (6375) imply:
% 188.73/28.98 | | | | | | | | | | | | | (6376) all_14_2 = e2
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | SIMP: (6376) implies:
% 188.73/28.98 | | | | | | | | | | | | | (6377) all_14_2 = e2
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | REDUCE: (369), (6377) imply:
% 188.73/28.98 | | | | | | | | | | | | | (6378) ~ (all_52_11 = e2)
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | REDUCE: (372), (6377) imply:
% 188.73/28.98 | | | | | | | | | | | | | (6379) ~ (all_52_14 = e2)
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | REDUCE: (5652), (6377) imply:
% 188.73/28.98 | | | | | | | | | | | | | (6380) ~ (e3 = e2)
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | REDUCE: (51), (6377) imply:
% 188.73/28.98 | | | | | | | | | | | | | (6381) op(e0, e0) = e2
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.73/28.98 | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | (6382) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.73/28.98 | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.73/28.98 | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | BETA: splitting (6382) gives:
% 188.73/28.98 | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | (6383) all_56_6 = e2 & op(e1, e3) = e2
% 188.73/28.98 | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6383), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 188.73/28.98 | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | (6384) all_56_7 = e2 & op(e1, e2) = e2
% 188.73/28.98 | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | ALPHA: (6384) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | (6385) op(e1, e2) = e2
% 188.73/28.98 | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/28.98 | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | (6386) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.73/28.98 | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | BETA: splitting (6386) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | (6387) all_56_4 = e2 & op(e3, e1) = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6387), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | (6388) all_56_5 = e2 & op(e2, e1) = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | ALPHA: (6388) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | (6389) op(e2, e1) = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 188.73/28.98 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (6385) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | (6390) all_52_6 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.73/28.98 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6389) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | (6391) all_52_9 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | REDUCE: (358), (6391) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | (6392) ~ (all_4_2 = e2)
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | SIMP: (6392) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | (6393) ~ (all_4_2 = e2)
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | (6394) all_54_5 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6394) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | (6395) all_4_2 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | REDUCE: (373), (6395) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | (6396) $false
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | CLOSE: (6396) is inconsistent.
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | (6397) ~ (all_54_5 = e3)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | (6398) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | BETA: splitting (6398) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | (6399) all_54_5 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6399) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | (6400) all_4_2 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | REDUCE: (6393), (6400) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | (6401) $false
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | CLOSE: (6401) is inconsistent.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | (6402) ~ (all_54_5 = e2)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | (6403) all_54_5 = e1 | all_54_5 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6404) all_54_5 = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6404) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6405) all_4_2 = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (6198), (6405) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6406) $false
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | CLOSE: (6406) is inconsistent.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6407) all_54_5 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6407) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6408) all_4_2 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (6408) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6409) ~ (all_52_7 = e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (6198), (6408) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6410) ~ (e1 = e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6408) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | (6411) op(e2, e2) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | (6412) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6412) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6413) all_56_0 = e0 & op(e3, e3) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6413) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6414) op(e3, e3) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6414), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6415) all_56_1 = e0 & op(e3, e2) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6415) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6416) all_56_1 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | (6417) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (6416), (6417),
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | #1928.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | (6418) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6418) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6419) all_56_7 = e3 & op(e1, e2) = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6419) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6420) op(e1, e2) = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6385), (6420), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #823.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6421) all_56_13 = e3 & op(e0, e2) = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6421) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6422) all_56_13 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6411),
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6416), (6422), (function-axioms) are inconsistent
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1308.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | (6423) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6423) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6424) all_56_4 = e0 & op(e3, e1) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6424) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6425) all_56_4 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6196), (6425), (function-axioms) are inconsistent
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1809.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6426) all_56_9 = e0 & op(e3, e0) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6426) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | (6427) op(e3, e0) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | (6428) all_56_15 = e0 & op(e0, e0) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6428) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | (6429) op(e0, e0) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6381), (6429), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | (6430) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6430) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | (6431) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6431) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6432) all_56_12 = e0 & op(e0, e3) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6432) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6433) op(e0, e3) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6433) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6434) all_52_3 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (6427) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6435) all_52_12 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6434) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6436) ~ (all_52_7 = e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6434) imply:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | (6437) ~ (all_52_11 = e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6438) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6438) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6439) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (6440), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (6433), (6441), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1022.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6442) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5649), (6443), (function-axioms) are inconsistent
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #798.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6444) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6445) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) op(e1, e2) = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6385), (6446), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #784.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6447) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6448) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) op(e1, e2) = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6385), (6449), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #784.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6450) implies:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) op(e2, e2) = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6411), (6451), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6452) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6452) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6453) gives:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6381), (6454), (function-axioms) are
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #811.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (6381), (6427), (6455),
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | #995.
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6456) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6457), (function-axioms) are
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6459) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460) op(e2, e0) = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (6389), (6460),
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6461) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6461) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6462) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) ~ (all_57_14 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) op(e1, e1) = all_57_14
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6196), (6463), (6464), (function-axioms) are
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6465) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (158), (373),
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192), (6196), (6409), (6411), (6466),
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #762.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | (6467) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6467) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6468) all_56_13 = e0 & op(e0, e2) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6468) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6469) op(e0, e2) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6409), (6469), (function-axioms) are
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6470) all_56_14 = e0 & op(e0, e1) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6470) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6471) op(e0, e1) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (6192), (6471), (function-axioms) are
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | (6472) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.73/28.99 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (6196), (6378), (6472),
% 188.73/28.99 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | | | | | #761.
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | (6473) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.73/28.99 | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (6196), (6379), (6473),
% 188.73/28.99 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | | | #759.
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | (6474) all_24_2 = e1
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | COMBINE_EQS: (318), (6474) imply:
% 188.73/28.99 | | | | | | | | | | | | (6475) all_4_2 = e1
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | SIMP: (6475) implies:
% 188.73/28.99 | | | | | | | | | | | | (6476) all_4_2 = e1
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | REDUCE: (352), (6476) imply:
% 188.73/28.99 | | | | | | | | | | | | (6477) ~ (all_52_4 = e1)
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | REDUCE: (354), (6476) imply:
% 188.73/28.99 | | | | | | | | | | | | (6478) ~ (all_52_6 = e1)
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | REDUCE: (356), (6476) imply:
% 188.73/28.99 | | | | | | | | | | | | (6479) ~ (all_52_7 = e1)
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | REDUCE: (373), (6476) imply:
% 188.73/28.99 | | | | | | | | | | | | (6480) ~ (e3 = e1)
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | REDUCE: (36), (6476) imply:
% 188.73/28.99 | | | | | | | | | | | | (6481) op(e2, e2) = e1
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (73),
% 188.73/28.99 | | | | | | | | | | | | (100), (112), (117), (120), (121), (125), (134),
% 188.73/28.99 | | | | | | | | | | | | (135), (139), (140), (144), (148), (157), (158),
% 188.73/28.99 | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 188.73/28.99 | | | | | | | | | | | | (168), (169), (170), (189), (190), (191), (192),
% 188.73/28.99 | | | | | | | | | | | | (193), (202), (207), (214), (215), (216), (218),
% 188.73/28.99 | | | | | | | | | | | | (219), (220), (221), (225), (226), (227), (228),
% 188.73/28.99 | | | | | | | | | | | | (231), (235), (238), (246), (247), (248), (249),
% 188.73/28.99 | | | | | | | | | | | | (250), (271), (330), (362), (369), (371), (372),
% 188.73/28.99 | | | | | | | | | | | | (373), (5637), (5639), (5640), (5641), (5642),
% 188.73/28.99 | | | | | | | | | | | | (5643), (5644), (5649), (5650), (5652), (6192),
% 188.73/28.99 | | | | | | | | | | | | (6193), (6196), (6477), (6478), (6479), (6481),
% 188.73/28.99 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | #745.
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | (6482) all_20_2 = e3
% 188.73/28.99 | | | | | | | | | | (6483) ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0
% 188.73/28.99 | | | | | | | | | | & op(e1, e3) = all_20_1 & $i(all_20_0) &
% 188.73/28.99 | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3)
% 188.73/28.99 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | COMBINE_EQS: (325), (6482) imply:
% 188.73/28.99 | | | | | | | | | | (6484) all_10_2 = e3
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | SIMP: (6484) implies:
% 188.73/28.99 | | | | | | | | | | (6485) all_10_2 = e3
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | COMBINE_EQS: (331), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6486) all_30_2 = e3
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | REDUCE: (350), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6487) ~ (all_52_2 = e3)
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | REDUCE: (361), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6488) ~ (all_52_6 = e3)
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | REDUCE: (363), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6489) ~ (all_52_8 = e3)
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | REDUCE: (364), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6490) ~ (all_52_9 = e3)
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | REDUCE: (366), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6491) ~ (all_52_11 = e3)
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | REDUCE: (368), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6492) ~ (all_52_14 = e3)
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | REDUCE: (45), (6485) imply:
% 188.73/28.99 | | | | | | | | | | (6493) op(e1, e1) = e3
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | BETA: splitting (67) gives:
% 188.73/28.99 | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | (6494) ~ (all_24_2 = e1)
% 188.73/28.99 | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | REDUCE: (318), (6494) imply:
% 188.73/28.99 | | | | | | | | | | | (6495) ~ (all_4_2 = e1)
% 188.73/28.99 | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | BETA: splitting (76) gives:
% 188.73/28.99 | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | (6496) ~ (all_30_2 = e3)
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | REDUCE: (6486), (6496) imply:
% 188.73/28.99 | | | | | | | | | | | | (6497) $false
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | CLOSE: (6497) is inconsistent.
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | (6498) ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 188.73/28.99 | | | | | | | | | | | | & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.73/28.99 | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 188.73/28.99 | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.73/28.99 | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | (6499) ~ (all_28_2 = e2)
% 188.73/28.99 | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | REDUCE: (330), (6499) imply:
% 188.73/28.99 | | | | | | | | | | | | | (6500) ~ (all_14_2 = e2)
% 188.73/28.99 | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.73/28.99 | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | (6501) all_54_15 = e3
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | COMBINE_EQS: (246), (6501) imply:
% 188.73/28.99 | | | | | | | | | | | | | | (6502) all_14_2 = e3
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | REDUCE: (5652), (6502) imply:
% 188.73/28.99 | | | | | | | | | | | | | | (6503) $false
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | CLOSE: (6503) is inconsistent.
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | (6504) ~ (all_54_15 = e3)
% 188.73/28.99 | | | | | | | | | | | | | | (6505) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | BETA: splitting (6505) gives:
% 188.73/28.99 | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | (6506) all_54_15 = e2
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6506) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | (6507) all_14_2 = e2
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | REDUCE: (6500), (6507) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | (6508) $false
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | CLOSE: (6508) is inconsistent.
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | (6509) ~ (all_54_15 = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | (6510) all_54_15 = e1 | all_54_15 = e0
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | BETA: splitting (6510) gives:
% 188.73/28.99 | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | (6511) all_54_15 = e1
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6511) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6512) all_14_2 = e1
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (5650), (6512) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6513) $false
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | CLOSE: (6513) is inconsistent.
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | (6514) all_54_15 = e0
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6514) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6515) all_14_2 = e0
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (351), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6516) ~ (all_52_3 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (362), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6517) ~ (all_52_7 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (369), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6518) ~ (all_52_11 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (370), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6519) ~ (all_52_12 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (371), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6520) ~ (all_52_13 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (372), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6521) ~ (all_52_14 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (5652), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6522) ~ (e3 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (6500), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6523) ~ (e2 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (5650), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6524) ~ (e1 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | REDUCE: (51), (6515) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | (6525) op(e0, e0) = e0
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | (6526) ~ (all_32_2 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | REDUCE: (314), (6526) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | (6527) ~ (all_4_2 = e0)
% 188.73/28.99 | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | (6528) all_54_5 = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6528) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | (6529) all_4_2 = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | REDUCE: (373), (6529) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | (6530) $false
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | CLOSE: (6530) is inconsistent.
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | (6531) ~ (all_54_5 = e3)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | (6532) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | BETA: splitting (6532) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | (6533) all_54_5 = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6533) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | (6534) all_4_2 = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | REDUCE: (354), (6534) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | (6535) ~ (all_52_6 = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6534) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | (6536) ~ (all_52_13 = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6534) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | (6537) ~ (e3 = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6534) imply:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | (6538) op(e2, e2) = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | (6539) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6539) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | (6540) all_56_6 = e2 & op(e1, e3) = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6540), (function-axioms) are
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | (6541) all_56_7 = e2 & op(e1, e2) = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6541) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | (6542) all_56_7 = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | (6543) op(e1, e2) = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | (6544) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6544) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | (6545) all_56_12 = e2 & op(e0, e3) = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6545) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | (6546) all_56_12 = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (5649), (6487), (6516), (6546),
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | #740.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | (6547) all_56_13 = e2 & op(e0, e2) = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6547) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | (6548) all_56_13 = e2
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | (6549) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6549) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_56_1 = e1 & op(e3, e2) = e1
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6550) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6551) op(e3, e2) = e1
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (6551), (6552),
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | #738.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6553) gives:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) all_56_7 = e3 & op(e1, e2) = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6554) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) op(e1, e2) = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6543), (6555), (function-axioms) are
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #823.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_56_13 = e3 & op(e0, e2) = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6556) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_56_13 = e3
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6548), (6557) are inconsistent by sub-proof
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1541.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6558) all_56_3 = e1 & op(e2, e2) = e1
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6558) implies:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | (6559) op(e2, e2) = e1
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6495), (6559), (function-axioms) are
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | (6560) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 188.73/28.99 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6560) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_56_7 = e1 & op(e1, e2) = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6542), (6561) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | #1765.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6562) all_56_13 = e1 & op(e0, e2) = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6548), (6562) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | #1205.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6563) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6563) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6564) all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6564) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6565) op(e0, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | (6566) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (6536), (6566),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | (6567) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6568) all_56_11 = e2 & op(e1, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6568) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6569) op(e1, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (113), (117),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (141), (143), (157), (158), (159),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (196), (197), (199), (202), (214),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (259), (260), (268), (271),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (349), (358), (360), (373), (5649), (6487),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6488), (6489), (6492), (6493), (6495), (6516),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6517), (6518), (6520), (6521), (6525), (6527),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6532), (6535), (6536), (6538), (6565), (6569),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | #729.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6570) all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6570) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6571) op(e0, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6571), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6572) all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6572) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6573) op(e0, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6573), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | (6574) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6574) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6575) all_56_8 = e2 & op(e1, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6575) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6576) op(e1, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (6576), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6577) all_56_11 = e2 & op(e1, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6577) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6578) op(e1, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6579) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6579) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6580) all_56_12 = e2 & op(e0, e3) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6580) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6581) all_56_12 = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (5649), (6487), (6516), (6581),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | #740.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6582) all_56_13 = e2 & op(e0, e2) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6582) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6583) all_56_13 = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (162),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (373), (6488), (6517),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6538), (6583), (function-axioms) are inconsistent
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #726.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6584) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6584) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6585) all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6585) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6586) op(e0, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (113), (117),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (141), (143), (157), (158), (159),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (196), (197), (199), (202), (214),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (259), (260), (268), (271),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (349), (358), (360), (373), (5649), (6487),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6488), (6489), (6492), (6493), (6495), (6516),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6517), (6518), (6520), (6521), (6525), (6527),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6532), (6535), (6536), (6538), (6578), (6586),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | #729.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6587) all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6587) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6588) op(e0, e0) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6588), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6589) all_54_5 = e1 | all_54_5 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (6495), (6527), (6589) are inconsistent by
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | sub-proof #1941.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | (6590) all_32_2 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (6590) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | (6591) all_4_2 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (6591) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | (6592) all_36_2 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | REDUCE: (36), (6591) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | (6593) op(e2, e2) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | (6594) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | BETA: splitting (6594) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6595) all_56_0 = e0 & op(e3, e3) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | ALPHA: (6595) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6596) op(e3, e3) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6596), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6597) all_56_1 = e0 & op(e3, e2) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | ALPHA: (6597) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6598) all_56_1 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | (6599) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (6598), (6599),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | #1928.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | (6600) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6600) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6601) all_56_7 = e3 & op(e1, e2) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6601) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6602) op(e1, e2) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6488), (6602), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6603) all_56_13 = e3 & op(e0, e2) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6603) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6604) all_56_13 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6593),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6598), (6604), (function-axioms) are inconsistent
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1308.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | (6605) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | BETA: splitting (6605) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6606) all_56_4 = e0 & op(e3, e1) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | ALPHA: (6606) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6607) all_56_4 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | (6608) op(e3, e1) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | (6609) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6609) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6610) all_56_0 = e0 & op(e3, e3) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6610) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6611) op(e3, e3) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6611), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6612) all_56_2 = e0 & op(e2, e3) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6612) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6613) all_56_2 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6614) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (5649), (6613), (6614),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | #743.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6615) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6615) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6616) all_56_6 = e3 & op(e1, e3) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6616) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6617) op(e1, e3) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6487), (6617), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6618) all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6618) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6619) all_56_12 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | (6620) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (229), (231),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | (373), (5649), (6619), (6620), (function-axioms)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | (6621) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6621) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6622) all_56_5 = e3 & op(e2, e1) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6622) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6623) all_56_5 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (6592), (6593), (6613),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6623), (function-axioms) are inconsistent by
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1701.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6624) all_56_10 = e3 & op(e2, e0) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6624) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6625) all_56_10 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (6592), (6593), (6613),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6625), (function-axioms) are inconsistent by
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #723.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | (6626) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6626) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6627) all_56_6 = e0 & op(e1, e3) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6627) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6628) all_56_6 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6629) op(e1, e3) = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (6629) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6630) all_52_2 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (6608) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6631) all_52_8 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6630) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6632) ~ (all_52_1 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6630) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6633) ~ (all_52_3 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6630) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6634) ~ (all_52_6 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | SIMP: (6634) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6635) ~ (all_52_6 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6630) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6636) ~ (all_52_14 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6631) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6637) ~ (all_52_4 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6631) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6638) ~ (all_52_9 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | SIMP: (6638) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6639) ~ (all_52_9 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6631) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | (6640) ~ (all_52_11 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6498) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6641) ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6641) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6642) ~ (all_30_0 = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6643) op(e1, e3) = all_30_1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | (6644) op(all_30_1, e1) = all_30_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6483) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6645) ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_20_1 & $i(all_20_0) &
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6645) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6646) op(e1, e3) = all_20_1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6647) op(all_20_1, e1) = all_20_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (6629), (6643) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6648) all_30_1 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e3, e1, simplifying with (6643), (6646)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6649) all_30_1 = all_20_1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6648), (6649) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6650) all_20_1 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6644), (6648) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6651) op(e0, e1) = all_30_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6647), (6650) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6652) op(e0, e1) = all_20_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e1, e0, simplifying with (157), (6652)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6653) all_52_11 = all_20_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e1, e0, simplifying with (157), (6651)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6654) all_52_11 = all_30_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6653), (6654) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6655) all_30_0 = all_20_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6655) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6656) all_30_0 = all_20_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6653) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6657) all_54_14 = all_20_0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6653) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6658) ~ (all_52_3 = all_20_0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6653) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6659) ~ (all_52_7 = all_20_0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6653) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6660) ~ (all_52_9 = all_20_0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6491), (6653) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6661) ~ (all_20_0 = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6518), (6653) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6662) ~ (all_20_0 = e0)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6642), (6656) imply:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | (6663) ~ (all_20_0 = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | (6664) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6664) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6665) all_56_4 = e2 & op(e3, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6665), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6666) all_56_5 = e2 & op(e2, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6666) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | (6667) op(e2, e1) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6668) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) all_56_12 = e2 & op(e0, e3) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6669) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) all_56_12 = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (5649), (6487), (6516), (6670),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | #740.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) all_56_13 = e2 & op(e0, e2) = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6671) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_56_13 = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6673) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6674) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) all_56_12 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) all_54_14 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6661), (6676) are inconsistent by
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) ~ (all_54_14 = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6679) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_56_0 = e1 & op(e3, e3) = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6680) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) op(e3, e3) = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6681), (function-axioms) are
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_56_2 = e1 & op(e2, e3) = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6682) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) all_56_2 = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (235),
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649), (6672), (6683), (6684), (function-axioms)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #721.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6685) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_56_14 = e1 & op(e0, e1) = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6686) implies:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) all_56_14 = e1
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6678) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) all_54_14 = e2
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6663), (6688) are inconsistent by
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #720.
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) ~ (all_54_14 = e2)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) all_54_14 = e1 | all_54_14 = e0
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6691) gives:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) all_56_1 = e3 & op(e3, e2) = e3
% 188.73/29.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6692) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_56_1 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) op(e3, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683), (6694), (6695), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #719.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6696) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6697) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #718.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) all_56_9 = e1 & op(e3, e0) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6698) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) all_56_9 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6690) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) all_54_14 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6657), (6700) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) all_20_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6701) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) all_20_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6658), (6702) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) ~ (all_52_3 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6659), (6702) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) ~ (all_52_7 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6660), (6702) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) ~ (all_52_9 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6661), (6702) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) ~ (e3 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6663), (6702) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) ~ (e2 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (85), (113), (117),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (128), (133), (135), (136), (140), (145),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (158), (159), (160), (164), (165),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (191), (192), (195), (197),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (203), (206), (209), (215), (216),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (229), (230), (231), (233), (234),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (248), (249), (258), (260),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (269), (272), (373), (5640), (5642),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648), (5649), (6488), (6490), (6493), (6516),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517), (6520), (6521), (6525), (6592), (6593),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628), (6632), (6635), (6637), (6639), (6672),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675), (6683), (6687), (6693), (6694), (6699),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703), (6704), (6705), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #706.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6662), (6708) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #705.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) all_56_3 = e3 & op(e2, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6709) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) op(e2, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (6710), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (206), (208),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488), (6675), (6687), (6711), (function-axioms)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) all_56_15 = e1 & op(e0, e0) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6712) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) op(e0, e0) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6525), (6713), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6628), (6675), (6714) are inconsistent
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #701.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) all_56_13 = e3 & op(e0, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6672), (6715) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #700.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6716) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) all_56_14 = e3 & op(e0, e1) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6717) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) all_56_14 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) all_54_14 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6661), (6719) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6720) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) all_54_14 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6663), (6721) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #720.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6723) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_56_12 = e1 & op(e0, e3) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6724) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) op(e0, e3) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6722) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) all_54_14 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6657), (6726) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) all_20_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6727) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_20_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6658), (6728) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) ~ (all_52_3 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6725), (6729), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6662), (6730) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #705.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) all_56_13 = e1 & op(e0, e2) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6731) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) all_56_13 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6672), (6732) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1916.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6525), (6718), (6733),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #699.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) all_56_15 = e3 & op(e0, e0) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6734) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) op(e0, e0) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6525), (6735), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6736) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6737) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) all_56_14 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (6493), (6607), (6667),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738), (function-axioms) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #698.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6739) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) op(e0, e0) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6740), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | (6741) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6741) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | (6742) all_56_8 = e2 & op(e1, e1) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6742) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | (6743) op(e1, e1) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (6743), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6744) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_56_14 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6746) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6747) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) all_56_4 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6748) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1827.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) all_56_5 = e1 & op(e2, e1) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6749) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) op(e2, e1) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) all_54_14 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6661), (6751) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6752) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_54_14 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6663), (6753) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #720.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6754) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) all_54_14 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6657), (6755) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_20_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6756) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) all_20_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6660), (6757) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) ~ (all_52_9 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6750), (6758), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6662), (6759) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #705.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6493), (6745), (6760),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | #1154.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6761) ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6761) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6762) ~ (all_20_1 = e2)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6763) op(e1, e3) = all_20_1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (6629), (6643) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6764) all_30_1 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e3, e1, simplifying with (6643), (6763)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6765) all_30_1 = all_20_1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6764), (6765) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6766) all_20_1 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6644), (6764) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6767) op(e0, e1) = all_30_0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e1, e0, simplifying with (157), (6767)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6768) all_52_11 = all_30_0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6768) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6769) all_54_14 = all_30_0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6768) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6770) ~ (all_52_3 = all_30_0)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6768) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6771) ~ (all_52_7 = all_30_0)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6768) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6772) ~ (all_52_9 = all_30_0)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6491), (6768) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6773) ~ (all_30_0 = e3)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6518), (6768) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | (6774) ~ (all_30_0 = e0)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | (6775) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6775) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | (6776) all_56_4 = e2 & op(e3, e1) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6776), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | (6777) all_56_5 = e2 & op(e2, e1) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6777) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | (6778) op(e2, e1) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6779) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) all_56_12 = e2 & op(e0, e3) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6780) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) all_56_12 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (5649), (6487), (6516), (6781),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | #740.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) all_56_13 = e2 & op(e0, e2) = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6782) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) all_56_13 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6784) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) all_56_12 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) all_54_14 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6773), (6787) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1306.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) ~ (all_54_14 = e3)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6790) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_56_0 = e1 & op(e3, e3) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6791) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) op(e3, e3) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6792), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_56_2 = e1 & op(e2, e3) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6793) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_56_2 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (235),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649), (6783), (6794), (6795), (function-axioms)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #721.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6796) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) all_56_14 = e1 & op(e0, e1) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6797) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) all_56_14 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6789) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) all_54_14 = e2
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6769), (6799) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1305.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) ~ (all_54_14 = e2)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6802) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) all_56_1 = e3 & op(e3, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6803) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) all_56_1 = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) op(e3, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794), (6805), (6806), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #719.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6807) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6808) are inconsistent by sub-proof
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #718.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) all_56_9 = e1 & op(e3, e0) = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6809) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) all_56_9 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6801) gives:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) all_54_14 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6811) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) all_30_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6812) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_30_0 = e1
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6770), (6813) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) ~ (all_52_3 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6771), (6813) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) ~ (all_52_7 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6772), (6813) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) ~ (all_52_9 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6773), (6813) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) ~ (e3 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6642), (6813) imply:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) ~ (e2 = e1)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (85), (113), (117),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (128), (133), (135), (136), (140), (145),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (148), (158), (159), (160), (164), (165),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (170), (191), (192), (195), (197),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (203), (206), (209), (215), (216),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (229), (230), (231), (233), (234),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (238), (239), (248), (249), (258), (260),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (269), (272), (373), (5640), (5642),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648), (5649), (6488), (6490), (6493), (6516),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517), (6520), (6521), (6525), (6592), (6593),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628), (6632), (6635), (6637), (6639), (6783),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786), (6794), (6798), (6804), (6805), (6810),
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814), (6815), (6816), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #706.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) all_54_14 = e0
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6774), (6819) are inconsistent by
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) all_56_3 = e3 & op(e2, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6820) implies:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) op(e2, e2) = e3
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (6821), (function-axioms) are
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.73/29.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (206), (208),
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488), (6786), (6798), (6822), (function-axioms)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #702.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) all_56_15 = e1 & op(e0, e0) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6823) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) op(e0, e0) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6525), (6824), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6628), (6786), (6825) are inconsistent
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #701.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) all_56_13 = e3 & op(e0, e2) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6826) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) all_56_13 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6783), (6827) are inconsistent by sub-proof
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1541.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6828) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) all_56_14 = e3 & op(e0, e1) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6829) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) all_56_14 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) all_54_14 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6773), (6831) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1306.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6832) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) all_54_14 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6769), (6833) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1305.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6835) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) all_56_12 = e1 & op(e0, e3) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6836) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) op(e0, e3) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6834) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) all_54_14 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6838) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) all_30_0 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6839) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) all_30_0 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6770), (6840) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) ~ (all_52_3 = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6837), (6841), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) all_54_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6774), (6842) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) all_56_13 = e1 & op(e0, e2) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6769), (6771), (6774), (6834), (6843),
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1244.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6525), (6830), (6844),
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #699.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) all_56_15 = e3 & op(e0, e0) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6845) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) op(e0, e0) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6525), (6846), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6847) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6848) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) all_56_14 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (6493), (6607), (6778),
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849), (function-axioms) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #698.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6850) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) op(e0, e0) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6851), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | (6852) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6852) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | (6853) all_56_8 = e2 & op(e1, e1) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6853) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | (6854) op(e1, e1) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (6854), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6855) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_56_14 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6857) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6858) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) all_56_4 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6859) are inconsistent by sub-proof
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1827.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) all_56_5 = e1 & op(e2, e1) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6860) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) op(e2, e1) = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_54_14 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6773), (6862) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1306.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6863) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) all_54_14 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6769), (6864) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1305.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6865) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) all_54_14 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6866) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) all_30_0 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6867) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_30_0 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6772), (6868) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) ~ (all_52_9 = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6861), (6869), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) all_54_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6774), (6870) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6493), (6856), (6871),
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | #1154.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | (6872) ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6483), (6629), (6872), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1241.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | (6873) all_56_12 = e0 & op(e0, e3) = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6873) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | (6874) op(e0, e3) = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6516), (6874), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1935.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | (6875) all_56_9 = e0 & op(e3, e0) = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | ALPHA: (6875) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | (6876) op(e3, e0) = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6519), (6876), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1799.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | End of split
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | (6877) all_28_2 = e2
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | COMBINE_EQS: (330), (6877) imply:
% 188.73/29.02 | | | | | | | | | | | | | (6878) all_14_2 = e2
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | SIMP: (6878) implies:
% 188.73/29.02 | | | | | | | | | | | | | (6879) all_14_2 = e2
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | REDUCE: (369), (6879) imply:
% 188.73/29.02 | | | | | | | | | | | | | (6880) ~ (all_52_11 = e2)
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | REDUCE: (372), (6879) imply:
% 188.73/29.02 | | | | | | | | | | | | | (6881) ~ (all_52_14 = e2)
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | REDUCE: (5652), (6879) imply:
% 188.73/29.02 | | | | | | | | | | | | | (6882) ~ (e3 = e2)
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | REDUCE: (51), (6879) imply:
% 188.73/29.02 | | | | | | | | | | | | | (6883) op(e0, e0) = e2
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.73/29.02 | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | (6884) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.73/29.02 | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.73/29.02 | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | BETA: splitting (6884) gives:
% 188.73/29.02 | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | (6885) all_56_6 = e2 & op(e1, e3) = e2
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6885), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | (6886) all_56_7 = e2 & op(e1, e2) = e2
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | ALPHA: (6886) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | (6887) op(e1, e2) = e2
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/29.02 | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | (6888) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | BETA: splitting (6888) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6889) all_56_4 = e2 & op(e3, e1) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6889), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6890) all_56_5 = e2 & op(e2, e1) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | ALPHA: (6890) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6891) op(e2, e1) = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 188.73/29.02 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (6887) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6892) all_52_6 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.73/29.02 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6891) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6893) all_52_9 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | REDUCE: (128), (6892) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6894) ~ (all_52_7 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | SIMP: (6894) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6895) ~ (all_52_7 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | REDUCE: (126), (6892) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6896) ~ (all_52_14 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | REDUCE: (118), (6893) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6897) ~ (all_52_11 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | REDUCE: (117), (6893) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6898) ~ (all_52_13 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | SIMP: (6898) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6899) ~ (all_52_13 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | REDUCE: (358), (6893) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6900) ~ (all_4_2 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | SIMP: (6900) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | (6901) ~ (all_4_2 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | (6902) all_54_5 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6902) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | (6903) all_4_2 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | REDUCE: (373), (6903) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | (6904) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | CLOSE: (6904) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | (6905) ~ (all_54_5 = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | (6906) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | BETA: splitting (6906) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | (6907) all_54_5 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6907) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | (6908) all_4_2 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | REDUCE: (6901), (6908) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | (6909) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | CLOSE: (6909) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | (6910) ~ (all_54_5 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | (6911) all_54_5 = e1 | all_54_5 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (6911) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6912) all_54_5 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6912) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6913) all_4_2 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (6495), (6913) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6914) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | CLOSE: (6914) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6915) all_54_5 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6915) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6916) all_4_2 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6917) all_36_2 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6918) ~ (all_52_1 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6919) ~ (all_52_4 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6920) ~ (all_52_7 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6921) ~ (all_52_13 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6922) ~ (e3 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (6901), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6923) ~ (e2 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (6495), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6924) ~ (e1 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6916) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | (6925) op(e2, e2) = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | (6926) all_54_8 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (6487), (6926) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | (6927) ~ (all_54_8 = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | (6928) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | (6929) all_54_14 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6929) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | (6930) all_52_11 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6491), (6930) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | (6931) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6931) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | (6932) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | (6933) all_54_4 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6933) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | (6934) all_52_1 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6934) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | (6935) all_52_1 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6935) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | (6936) ~ (all_52_13 = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6936) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | (6937) ~ (all_52_13 = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | (6938) all_54_7 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6937), (6938) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | (6939) ~ (all_54_7 = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | (6940) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6940) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | (6941) all_54_7 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6899), (6941) are inconsistent by
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1483.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | (6942) ~ (all_54_7 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | (6943) all_54_7 = e1 | all_54_7 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6943) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) all_54_7 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (6944) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6945) all_52_13 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6945) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6946) all_52_13 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6946) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6947) ~ (all_52_12 = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6946) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6948) ~ (all_52_14 = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6948) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6949) ~ (all_52_14 = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (6946) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6950) ~ (e3 = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6899), (6946) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) ~ (e2 = e1)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6952) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) all_56_0 = e3 & op(e3, e3) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6953) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) op(e3, e3) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (6954), (function-axioms) are
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) all_56_2 = e3 & op(e2, e3) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6955) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) all_56_2 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) all_54_11 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6957) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) all_52_14 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6958) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6959) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6960) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) all_54_11 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6961) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) all_52_14 = e2
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6881), (6962) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6963) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) ~ (all_54_11 = e2)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) all_54_11 = e1 | all_54_11 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6965) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) all_54_11 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6966) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_52_14 = e1
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6949), (6967) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6968) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_54_11 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6969) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) all_52_14 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6970) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) ~ (all_52_2 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6970) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) ~ (all_52_12 = e0)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (6970) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) op(e1, e0) = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) all_54_3 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6974) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) all_52_12 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6975) implies:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) all_52_12 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6976) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) ~ (all_52_4 = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (6976) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) op(e3, e0) = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) all_54_1 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6979) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) all_52_4 = e3
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6977), (6980) imply:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) $false
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6981) is inconsistent.
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) ~ (all_54_1 = e3)
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6984) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6985) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (6977), (6986),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1530.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6987) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6988) implies:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) op(e3, e3) = e1
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6989), (function-axioms) are
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6990) implies:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) op(e3, e1) = e1
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (272), (5643), (6919), (6983),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991), (function-axioms) are inconsistent by
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #694.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6992) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (6978), (6993),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6887), (6925), (6994),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #693.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6995) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6996) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (202), (271), (5644), (5649), (6489),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921), (6978), (6997), (function-axioms) are
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #731.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (202), (271), (5644), (5649), (6489),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883), (6978), (6998), (function-axioms) are
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #692.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6999) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7000) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7001) implies:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) op(e3, e3) = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (6956), (6971), (7002), (function-axioms)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1720.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7003) implies:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) op(e2, e2) = e2
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6925), (7004), (function-axioms) are
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (202), (271), (5644), (5649), (6489),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6493), (6978), (7005), (function-axioms) are
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #730.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (5645), (6947), (6973),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006), (function-axioms) are inconsistent by
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7007) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) all_56_6 = e3 & op(e1, e3) = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7008) implies:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) all_56_6 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (373), (6490), (6937),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009), (function-axioms) are inconsistent by
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1454.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7010) implies:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) all_56_12 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (229), (231),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5649), (7011), (7012), (function-axioms)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6490), (6937), (7013),
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) all_54_7 = e0
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6921), (7014) are inconsistent by
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1477.
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | (7015) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | (7016) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7016) gives:
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | (7017) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7017) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7018) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7019) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) op(e2, e3) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) op(e3, e2) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7015) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) all_54_4 = e2
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (7023) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1833.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) all_54_4 = e1 | all_54_4 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7025) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7026) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) op(e3, e3) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (7027), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7028) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) all_56_2 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6925), (7029), (7030),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #691.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7031) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7032) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) op(e2, e1) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6891), (7033), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7034) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) op(e2, e0) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (6918), (7024), (7035),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #690.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7036) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7037) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) op(e1, e3) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6487), (7038), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) all_56_12 = e3 & op(e0, e3) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7039) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_56_12 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (229), (231),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5649), (7040), (7041), (function-axioms)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7042) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7043) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) op(e2, e1) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6490), (7044), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7045) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) all_56_10 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7047) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7048) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) all_56_2 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7050) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) op(e0, e0) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6883), (7051), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7052) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7055) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7056) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) all_56_6 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (5648), (7040), (7049),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) are inconsistent by sub-proof #689.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7058) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) op(e1, e2) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (7022), (7059), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #879.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7060) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7061) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) op(e1, e1) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6493), (7062), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1978.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) all_56_11 = e1 & op(e1, e0) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7063) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) all_56_11 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7053) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7065) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) all_56_12 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7040), (7066) are inconsistent by sub-proof
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1700.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7067) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7068) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) op(e0, e2) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6920), (7069), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) all_56_14 = e0 & op(e0, e1) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) all_56_14 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7072) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7073) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) all_56_12 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5649),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049), (7074), (function-axioms) are inconsistent
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #802.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) all_56_13 = e1 & op(e0, e2) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7075) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) all_56_13 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7077) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7078) all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7078) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) all_56_1 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7054) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7080) all_56_9 = e0 & op(e3, e0) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7080) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081) op(e3, e0) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7024) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7082) all_54_4 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7082) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083) all_52_1 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7083) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7084) ~ (all_52_2 = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7084) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7085) ~ (all_52_2 = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7083) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7086) ~ (all_52_3 = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7086) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7087) ~ (all_52_3 = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (7083) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7088) op(e2, e3) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6928) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7089) all_54_8 = e2
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5641), (7089) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7090) all_54_8 = e1 | all_54_8 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7090) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7091) all_54_8 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7085), (7091) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1367.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7092) all_54_8 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7092) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7093) all_52_2 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7093) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7094) all_52_2 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7094) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7095) ~ (all_52_3 = e0)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7095) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7096) ~ (all_52_3 = e0)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) all_54_12 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (7097) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) all_52_3 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7098) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) ~ (all_52_7 = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7099) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) ~ (all_52_7 = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7098) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) ~ (all_52_11 = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) all_54_13 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (7100), (7102) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1445.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) ~ (all_54_13 = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7104) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) all_54_13 = e2
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6895), (7105) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1444.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) all_54_13 = e1 | all_54_13 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7106) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) all_54_13 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (7107) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) all_52_7 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7108) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) all_52_7 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (7109) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) ~ (all_52_11 = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7110) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) ~ (all_52_11 = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7100), (7109) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) ~ (e3 = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6932) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) all_54_14 = e2
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6880), (7113) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114) all_54_14 = e1 | all_54_14 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7114) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7115) all_54_14 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7111), (7115) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1739.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7116) all_54_14 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7116) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117) all_52_11 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7117) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_52_11 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (7020), (7088) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) e3 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7079), (7119) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) all_56_1 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (5649), (6489),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081), (7120), (function-axioms) are inconsistent
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #688.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) all_54_13 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6920), (7121) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1653.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5642), (7087), (7096), (7122) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #707.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) all_54_4 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7123) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) all_52_1 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6918), (7124) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) $false
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7125) is inconsistent.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7126) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7127) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) op(e2, e0) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6921), (7128), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) all_56_11 = e0 & op(e1, e0) = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7129) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) all_56_11 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7064), (7130) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) e1 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7131) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) e1 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7049), (7132) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_56_2 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (6917), (6925), (7046),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133), (function-axioms) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #723.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7134) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) op(e2, e2) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7135), (function-axioms) are
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7136) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7137) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) all_56_7 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (6925), (7021), (7076),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138), (function-axioms) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1923.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_56_13 = e3 & op(e0, e2) = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7139) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_56_13 = e3
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7076), (7140) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) e3 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7040), (7141) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) all_56_12 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5649),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049), (7142), (function-axioms) are inconsistent
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #802.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7143) gives:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7144) implies:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) all_56_14 = e1
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7071), (7145) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) e1 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7049), (7146) imply:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) all_56_2 = e0
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (6917), (6925), (7046),
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147), (function-axioms) are inconsistent by
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #723.
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7148) implies:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) op(e0, e0) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6883), (7149), (function-axioms) are
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) all_56_3 = e1 & op(e2, e2) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7150) implies:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) op(e2, e2) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6925), (7151), (function-axioms) are
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7152) gives:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7153) implies:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) op(e2, e1) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6891), (7154), (function-axioms) are
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7155) implies:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) op(e2, e0) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (6918), (7024), (7156),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #690.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7157) implies:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) op(e2, e2) = e3
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7158), (function-axioms) are
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7159) gives:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7160) implies:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) op(e3, e3) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7161), (function-axioms) are
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7162) implies:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) op(e1, e3) = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (5640), (6918), (7015),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163), (function-axioms) are inconsistent by
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (7164) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7164) gives:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (6883), (7165),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #815.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6887), (6925), (7166),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #693.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (7167) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7167) gives:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (7168) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7168) gives:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (6891), (6921), (7169),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #709.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (6493), (6883), (7170),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #1171.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (7171) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7171) gives:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (6925), (7172),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #827.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (6493), (6883), (7173),
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #1169.
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | (7174) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.05 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.87/29.05 | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (6493), (6880), (7174),
% 188.87/29.05 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | | | #685.
% 188.87/29.05 | | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | (7175) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.05 | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.87/29.05 | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (6493), (6881), (7175),
% 188.87/29.05 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.05 | | | | | | | | | | | | | | #684.
% 188.87/29.05 | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | End of split
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | Case 2:
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | (7176) all_24_2 = e1
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | COMBINE_EQS: (318), (7176) imply:
% 188.87/29.05 | | | | | | | | | | | (7177) all_4_2 = e1
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | SIMP: (7177) implies:
% 188.87/29.05 | | | | | | | | | | | (7178) all_4_2 = e1
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | REDUCE: (349), (7178) imply:
% 188.87/29.05 | | | | | | | | | | | (7179) ~ (all_52_1 = e1)
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | REDUCE: (354), (7178) imply:
% 188.87/29.05 | | | | | | | | | | | (7180) ~ (all_52_6 = e1)
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | REDUCE: (373), (7178) imply:
% 188.87/29.05 | | | | | | | | | | | (7181) ~ (e3 = e1)
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | REDUCE: (36), (7178) imply:
% 188.87/29.05 | | | | | | | | | | | (7182) op(e2, e2) = e1
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | BETA: splitting (238) gives:
% 188.87/29.05 | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | (7183) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.05 | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05 | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.05 | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.05 | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.05 | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05 | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.05 | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.05 | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.05 | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.05 | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.05 | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.05 | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.05 | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.05 | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.05 | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.05 | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.87/29.05 | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.87/29.05 | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.87/29.05 | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.87/29.05 | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.87/29.05 | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.05 | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.87/29.05 | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.87/29.05 | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.87/29.05 | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.87/29.05 | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.87/29.05 | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.05 | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.87/29.05 | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.87/29.05 | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.87/29.05 | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.87/29.05 | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.87/29.05 | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.05 | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.05 | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.05 | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.05 | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | BETA: splitting (7183) gives:
% 188.87/29.05 | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | (7184) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.05 | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.05 | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.05 | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.05 | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.05 | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.05 | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.05 | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.05 | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.05 | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.05 | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.05 | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.05 | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.05 | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.05 | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.87/29.05 | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | BETA: splitting (7184) gives:
% 188.87/29.05 | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | Case 1:
% 188.87/29.05 | | | | | | | | | | | | | |
% 188.87/29.05 | | | | | | | | | | | | | | (7185) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.05 | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.05 | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.05 | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.05 | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.05 | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.05 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (7185), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | (7186) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.06 | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.06 | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.06 | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | REF_CLOSE: (8), (6493), (7182), (7186), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | inconsistent by sub-proof #683.
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | End of split
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | (7187) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.06 | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.06 | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.87/29.06 | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.87/29.06 | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.06 | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.06 | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.87/29.06 | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.87/29.06 | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.06 | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.06 | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.06 | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.87/29.06 | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.06 | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_10))
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | BETA: splitting (7187) gives:
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | (7188) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.06 | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.06 | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.87/29.06 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | REF_CLOSE: (5649), (7188), (function-axioms) are inconsistent
% 188.87/29.06 | | | | | | | | | | | | | | by sub-proof #798.
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | (7189) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.87/29.06 | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.06 | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.87/29.06 | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.87/29.06 | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.87/29.06 | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.06 | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (6489), (7180), (7189),
% 188.87/29.06 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.06 | | | | | | | | | | | | | | #1677.
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | End of split
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | End of split
% 188.87/29.06 | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | (7190) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.06 | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.06 | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06 | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.06 | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.06 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.06 | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.06 | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.06 | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.87/29.06 | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.06 | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.06 | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.06 | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.87/29.06 | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.06 | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.06 | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.06 | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.06 | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06 | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.87/29.06 | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.87/29.06 | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.87/29.06 | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.87/29.06 | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.87/29.06 | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.87/29.06 | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.87/29.06 | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.87/29.06 | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.87/29.06 | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.06 | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.06 | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.06 | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.06 | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.87/29.06 | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.06 | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.06 | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.06 | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.06 | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.87/29.06 | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.06 | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.06 | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.06 | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.06 | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.06 | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.06 | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.06 | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.06 | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.06 | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.06 | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.06 | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.06 | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06 | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.06 | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | BETA: splitting (7190) gives:
% 188.87/29.06 | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | (7191) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.06 | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.06 | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.06 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.06 | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.06 | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.87/29.06 | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.06 | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.06 | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.06 | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.87/29.06 | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.06 | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.06 | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | BETA: splitting (7191) gives:
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | (7192) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.06 | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.06 | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.06 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.06 | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5649), (5650), (7192),
% 188.87/29.06 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.06 | | | | | | | | | | | | | | #682.
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | (7193) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.06 | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.87/29.06 | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.87/29.06 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.87/29.06 | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.87/29.06 | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | (7194) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.06 | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06 | | | | | | | | | | | | | | | $i(all_57_12)
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | ALPHA: (7194) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | (7195) op(e0, e0) = e1
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | REF_CLOSE: (51), (5650), (7195), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | | inconsistent by sub-proof #1967.
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | (7196) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.87/29.06 | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.06 | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.06 | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.06 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06 | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6493), (7182), (7196),
% 188.87/29.06 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.06 | | | | | | | | | | | | | | | #841.
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | End of split
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | End of split
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | (7197) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.87/29.06 | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.06 | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.06 | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.87/29.06 | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.06 | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.06 | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.87/29.06 | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.06 | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06 | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.87/29.06 | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.87/29.06 | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.87/29.06 | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.87/29.06 | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.87/29.06 | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.06 | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.87/29.06 | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.87/29.06 | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.87/29.06 | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.06 | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.06 | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.06 | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.06 | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.06 | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.06 | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.06 | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.06 | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.06 | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.06 | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06 | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | BETA: splitting (7197) gives:
% 188.87/29.06 | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | (7198) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.87/29.06 | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.06 | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.87/29.06 | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.06 | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.06 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_14))
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7198), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | (7199) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.87/29.06 | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.06 | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.87/29.06 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.87/29.06 | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.06 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.06 | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.06 | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.06 | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.06 | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.06 | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.06 | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.06 | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.06 | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.06 | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | BETA: splitting (7199) gives:
% 188.87/29.06 | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | (7200) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.87/29.06 | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.06 | | | | | | | | | | | | | | | $i(all_57_13)
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | ALPHA: (7200) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | (7201) op(e1, e1) = e0
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | REF_CLOSE: (7), (6493), (7201), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | (7202) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.87/29.06 | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.87/29.06 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.87/29.06 | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.87/29.06 | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.87/29.06 | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.87/29.06 | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.87/29.06 | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.87/29.06 | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.87/29.06 | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.06 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.87/29.06 | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.87/29.06 | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.87/29.06 | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.87/29.06 | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.87/29.06 | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.87/29.06 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.87/29.06 | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.87/29.06 | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | BETA: splitting (7202) gives:
% 188.87/29.06 | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | (7203) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.87/29.06 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | ALPHA: (7203) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | (7204) op(e2, e2) = e0
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7204), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | (7205) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.06 | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.87/29.06 | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.87/29.06 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.06 | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.87/29.06 | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.87/29.06 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.87/29.06 | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.87/29.06 | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.87/29.06 | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.87/29.06 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | ALPHA: (7205) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | (7206) op(e0, e0) = all_57_15
% 188.87/29.06 | | | | | | | | | | | | | | | | (7207) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.87/29.06 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.06 | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.06 | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.06 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.06 | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.06 | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.06 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.87/29.06 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.06 | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.06 | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.06 | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7208) ~ (all_28_2 = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | REDUCE: (330), (7208) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7209) ~ (all_14_2 = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | (7210) all_54_15 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5652), (7210) are inconsistent by
% 188.87/29.06 | | | | | | | | | | | | | | | | | | sub-proof #1675.
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | (7211) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (159), (246), (351),
% 188.87/29.06 | | | | | | | | | | | | | | | | | | (362), (369), (5649), (5650), (7182), (7207),
% 188.87/29.06 | | | | | | | | | | | | | | | | | | (7209), (7211), (function-axioms) are inconsistent
% 188.87/29.06 | | | | | | | | | | | | | | | | | | by sub-proof #680.
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7212) all_28_2 = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (7212) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7213) all_14_2 = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | SIMP: (7213) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7214) all_14_2 = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | REDUCE: (371), (7214) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7215) ~ (all_52_13 = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | REDUCE: (372), (7214) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7216) ~ (all_52_14 = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | REDUCE: (5652), (7214) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7217) ~ (e3 = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | REDUCE: (51), (7214) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | (7218) op(e0, e0) = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | (7219) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (7182), (7219),
% 188.87/29.06 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.06 | | | | | | | | | | | | | | | | | | #797.
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | (7220) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | BETA: splitting (7220) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | (7221) all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | ALPHA: (7221) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | (7222) op(e2, e1) = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | (7223) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7223) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | (7224) all_56_6 = e2 & op(e1, e3) = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (7224), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | (7225) all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7225) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | (7226) all_56_7 = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | (7227) op(e1, e2) = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7207) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | (7228) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7228) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | (7229) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7229) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | (7230) op(e2, e2) = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7230), (function-axioms) are
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | (7231) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7231) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7232) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7232) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7233) ~ (all_57_1 = e1)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7234) op(e0, e3) = e0
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7235) op(e1, e3) = all_57_1
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7234) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7236) all_52_3 = e0
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1, e3, e1, simplifying with (163), (7235)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_57_1 = all_52_2
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7233), (7237) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7238) ~ (all_52_2 = e1)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7236) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7239) ~ (all_52_1 = e0)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7236) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7240) ~ (all_52_2 = e0)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5642), (7236) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | (7241) ~ (e2 = e0)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7242) all_54_4 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7242) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7243) all_52_1 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7243) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7244) all_52_1 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7244) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7245) ~ (all_52_2 = e3)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7244) imply:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7246) ~ (all_52_13 = e3)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7246) implies:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7247) ~ (all_52_13 = e3)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7248) gives:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7249) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) all_56_2 = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7240), (7252), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1768.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7226), (7253) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7254) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) all_56_8 = e0 & op(e1, e1) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7255) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) op(e1, e1) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (216), (229),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (5648), (5649), (6492), (7227), (7250),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256), (function-axioms) are inconsistent by
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #679.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) all_56_11 = e0 & op(e1, e0) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7257) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) op(e1, e0) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (196), (259), (5641), (6487),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238), (7258), (function-axioms) are inconsistent
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #678.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7259) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) op(e2, e2) = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7260), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7261) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (200), (269), (5640), (7179),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239), (7262), (function-axioms) are inconsistent
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #677.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7247), (7263), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | (7264) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (7179), (7239), (7264) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | (7265) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7265) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | (7266) ~ (all_57_15 = e2)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7206), (7218), (7266), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #748.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | (7267) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7267) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | (7268) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7268) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | (7269) ~ (all_57_15 = e2)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7206), (7218), (7269), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #748.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | (7270) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7222), (7270), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #787.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (7271) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (6493), (7216), (7271),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | #684.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (7272) all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | ALPHA: (7272) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (7273) op(e2, e0) = e2
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7215), (7273), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | (7274) all_18_2 = e3
% 188.87/29.07 | | | | | | | | | (7275) ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 188.87/29.07 | | | | | | | | | op(e0, e3) = all_18_1 & $i(all_18_0) &
% 188.87/29.07 | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0, e3) =
% 188.87/29.07 | | | | | | | | | all_18_1 & $i(all_18_1))
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | COMBINE_EQS: (301), (7274) imply:
% 188.87/29.07 | | | | | | | | | (7276) all_14_2 = e3
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | COMBINE_EQS: (299), (7276) imply:
% 188.87/29.07 | | | | | | | | | (7277) all_48_2 = e3
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | REDUCE: (351), (7276) imply:
% 188.87/29.07 | | | | | | | | | (7278) ~ (all_52_3 = e3)
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | REDUCE: (362), (7276) imply:
% 188.87/29.07 | | | | | | | | | (7279) ~ (all_52_7 = e3)
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | REDUCE: (370), (7276) imply:
% 188.87/29.07 | | | | | | | | | (7280) ~ (all_52_12 = e3)
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | REDUCE: (371), (7276) imply:
% 188.87/29.07 | | | | | | | | | (7281) ~ (all_52_13 = e3)
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | REDUCE: (372), (7276) imply:
% 188.87/29.07 | | | | | | | | | (7282) ~ (all_52_14 = e3)
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | BETA: splitting (212) gives:
% 188.87/29.07 | | | | | | | | |
% 188.87/29.07 | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | (7283) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.87/29.07 | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.07 | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | REF_CLOSE: (164), (168), (7280), (7281), (7283),
% 188.87/29.07 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | #1118.
% 188.87/29.07 | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | (7284) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.87/29.07 | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.87/29.07 | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | BETA: splitting (7284) gives:
% 188.87/29.07 | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | (7285) all_56_11 = e3 & op(e1, e0) = e3
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | REF_CLOSE: (160), (7282), (7285), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | inconsistent by sub-proof #1407.
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | (7286) all_56_15 = e3 & op(e0, e0) = e3
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | ALPHA: (7286) implies:
% 188.87/29.07 | | | | | | | | | | | (7287) all_56_15 = e3
% 188.87/29.07 | | | | | | | | | | | (7288) op(e0, e0) = e3
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | BETA: splitting (61) gives:
% 188.87/29.07 | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | (7289) ~ (all_20_2 = e3)
% 188.87/29.07 | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | REDUCE: (325), (7289) imply:
% 188.87/29.07 | | | | | | | | | | | | (7290) ~ (all_10_2 = e3)
% 188.87/29.07 | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | BETA: splitting (64) gives:
% 188.87/29.07 | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | (7291) ~ (all_22_2 = e0)
% 188.87/29.07 | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | REDUCE: (251), (7291) imply:
% 188.87/29.07 | | | | | | | | | | | | | (7292) ~ (all_10_2 = e0)
% 188.87/29.07 | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 188.87/29.07 | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | (7293) all_54_10 = e3
% 188.87/29.07 | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | REF_CLOSE: (336), (7290), (7293) are inconsistent by
% 188.87/29.07 | | | | | | | | | | | | | | sub-proof #983.
% 188.87/29.07 | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | (7294) ~ (all_54_10 = e3)
% 188.87/29.07 | | | | | | | | | | | | | | (7295) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 188.87/29.07 | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | BETA: splitting (7295) gives:
% 188.87/29.07 | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | (7296) all_54_10 = e2
% 188.87/29.07 | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | REF_CLOSE: (336), (375), (7296) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | #982.
% 188.87/29.07 | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | (7297) ~ (all_54_10 = e2)
% 188.87/29.07 | | | | | | | | | | | | | | | (7298) all_54_10 = e1 | all_54_10 = e0
% 188.87/29.07 | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | BETA: splitting (7298) gives:
% 188.87/29.07 | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | (7299) all_54_10 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (7299) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7300) all_10_2 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | SIMP: (7300) implies:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7301) all_10_2 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | REDUCE: (350), (7301) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7302) ~ (all_52_2 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | REDUCE: (361), (7301) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7303) ~ (all_52_6 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | REDUCE: (366), (7301) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7304) ~ (all_52_11 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | REDUCE: (368), (7301) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7305) ~ (all_52_14 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | REDUCE: (7290), (7301) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7306) ~ (e3 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | REDUCE: (375), (7301) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7307) ~ (e2 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | REDUCE: (45), (7301) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | (7308) op(e1, e1) = e1
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | (7309) ~ (all_24_2 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | REDUCE: (318), (7309) imply:
% 188.87/29.07 | | | | | | | | | | | | | | | | | (7310) ~ (all_4_2 = e1)
% 188.87/29.07 | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (7311) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.87/29.07 | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | BETA: splitting (7311) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (7312) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (7312) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (7313) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (7313), (function-axioms) are
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (7314) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (7302), (7314),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | #1973.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (7315) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (7315) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (7316) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7288), (7308), (7316),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | #1081.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (7317) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (7303), (7310), (7317),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | #1968.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (7318) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.07 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | BETA: splitting (7318) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (7319) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (7319) gives:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (7320) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (7288), (7320),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | #676.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (7321) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (7280), (7288), (7321),
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | | #1189.
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.07 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07 | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | (7322) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (7322) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | (7323) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7323), (function-axioms) are
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | (7324) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7324) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | (7325) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7325) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | (7326) op(e1, e1) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7308), (7326), (function-axioms) are
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | (7327) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7327) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (7328) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (7329) op(e1, e0) = e1
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7305), (7329), (function-axioms) are
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (7330) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7330) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (7331) op(e0, e0) = all_57_15
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (7332) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7332) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | (7333) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7333) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | (7334) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7334) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | (7335) op(e2, e2) = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7335), (function-axioms) are
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | (7336) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7336) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7337) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7337) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7338) ~ (all_57_15 = e3)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7288), (7331), (7338), (function-axioms) are
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1276.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7339) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7339) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7340) ~ (all_57_15 = e2)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7341) ~ (all_57_3 = e3)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7342) op(e0, e2) = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7343) op(e3, e2) = all_57_3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (7288), (7331)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7344) all_57_15 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7342) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7345) all_52_7 = e0
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3, e2, e3, simplifying with (170), (7343)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_57_3 = all_52_4
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7341), (7346) imply:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7347) ~ (all_52_4 = e3)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7345) imply:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7348) ~ (all_52_3 = e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (7345) imply:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7349) ~ (all_52_11 = e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7349) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7350) ~ (all_52_11 = e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (7345) imply:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7351) ~ (all_4_2 = e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7351) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7352) ~ (all_4_2 = e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7279), (7345) imply:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | (7353) ~ (e3 = e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7354) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7355) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7356) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (7288), (7342), (7356),
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1027.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7357) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7357) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7358) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7358) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7359) op(e3, e3) = e1
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (7308), (7310),
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332), (7348), (7350), (7359), (function-axioms)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1930.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7360) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7360) implies:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361) op(e1, e3) = e1
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7302), (7361), (function-axioms) are
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7362) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7362) gives:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7363) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (5649), (7348), (7363),
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #830.
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (7303), (7310), (7364),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7365) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7366) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7367) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7368) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) op(e2, e2) = e0
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (7310), (7352), (7369),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1220.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7370) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) op(e0, e0) = e2
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7371), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1692.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (7288), (7304), (7372),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1108.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7373) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7374) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7375) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) op(e3, e3) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (7308), (7310),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332), (7376), (function-axioms) are inconsistent
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1953.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7377) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7342), (7378), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1028.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7379) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7379) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7380) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7380) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7381) (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7382) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7383) all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7383) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7384) op(e3, e3) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (7308), (7310),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332), (7384), (function-axioms) are inconsistent
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1953.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385) all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7385) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) op(e3, e2) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7347), (7386), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1972.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7387) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7388) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) op(e3, e1) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7381) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) all_57_10 = e1 & op(e3, e3) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7390) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) op(e3, e3) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (7308), (7310),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332), (7348), (7350), (7391), (function-axioms)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1930.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7392) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) ~ (all_57_6 = e3)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) op(e3, e1) = all_57_6
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7389), (7393), (7394), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #675.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7395) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) op(e3, e0) = e3
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7280), (7396), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7397) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) op(e0, e0) = e0
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7288), (7398), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | (7399) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7399) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | (7400) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7400) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | (7401) op(e1, e1) = e2
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7308), (7401), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | (7402) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (5649), (7310), (7402),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | | #804.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7403) all_24_2 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7404) ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 188.87/29.09 | | | | | | | | | | | | | | | | | & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 188.87/29.09 | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (7403) imply:
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7405) all_4_2 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | SIMP: (7405) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7406) all_4_2 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (7406) imply:
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7407) all_44_2 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | REDUCE: (356), (7406) imply:
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7408) ~ (all_52_7 = e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | REDUCE: (358), (7406) imply:
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7409) ~ (all_52_9 = e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | REDUCE: (360), (7406) imply:
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7410) ~ (all_52_13 = e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | REDUCE: (36), (7406) imply:
% 188.87/29.09 | | | | | | | | | | | | | | | | | (7411) op(e2, e2) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | (7412) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | BETA: splitting (7412) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | (7413) all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | ALPHA: (7413) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | (7414) op(e3, e3) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7414), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | (7415) all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | ALPHA: (7415) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | (7416) all_56_2 = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | (7417) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (229), (235),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | (5649), (7408), (7416), (7417), (function-axioms)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #801.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | (7418) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (7288), (7304), (7418),
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | | #1114.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | (7419) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.09 | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | BETA: splitting (7419) gives:
% 188.87/29.09 | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | (7420) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | ALPHA: (7420) implies:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | (7421) op(e1, e3) = e1
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7302), (7421), (function-axioms) are
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09 | | | | | | | | | | | | | | | | | | |
% 188.87/29.09 | | | | | | | | | | | | | | | | | | | (7422) all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | ALPHA: (7422) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7423) all_56_12 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7424) op(e0, e3) = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | (7425) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7425) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7426) all_56_9 = e1 & op(e3, e0) = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7426) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7427) all_56_9 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7428) op(e3, e0) = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7424) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7429) all_52_3 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (7428) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7430) all_52_12 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7429) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7431) ~ (all_52_1 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7429) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7432) ~ (all_52_7 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7429) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7433) ~ (all_52_11 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7430) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7434) ~ (all_52_4 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7430) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7435) ~ (all_52_13 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7430) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7436) ~ (all_52_14 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | (7437) ~ (all_48_2 = e3)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7277), (7437) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | (7438) $false
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7438) is inconsistent.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | (7439) ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_48_1 & $i(all_48_0) &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e0, e3)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7275) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7440) ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_18_1 & $i(all_18_0) &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7440) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7441) op(e0, e3) = all_18_1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7442) op(all_18_1, e0) = all_18_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_18_1,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (7424), (7441) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7443) all_18_1 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7442), (7443) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7444) op(e1, e0) = all_18_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7439) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7445) ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_48_1 & $i(all_48_0) &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7445) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7446) ~ (all_48_0 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7447) op(e0, e3) = all_48_1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7448) op(all_48_1, e0) = all_48_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_48_1,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (7424), (7447) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7449) all_48_1 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e0, e1, simplifying with (160), (7444)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7450) all_52_14 = all_18_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7450) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7451) all_54_11 = all_18_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (7450) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7452) ~ (all_52_2 = all_18_0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7450) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7453) ~ (all_52_6 = all_18_0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7282), (7450) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7454) ~ (all_18_0 = e3)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7305), (7450) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7455) ~ (all_18_0 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7448), (7449) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7456) op(e1, e0) = all_48_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e0, e1, simplifying with (7444), (7456)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7457) all_48_0 = all_18_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7446), (7457) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7458) ~ (all_18_0 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | (7459) all_54_11 = e3
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7459) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | (7460) all_18_0 = e3
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7460) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | (7461) all_18_0 = e3
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7454), (7461) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | (7462) $false
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7462) is inconsistent.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | (7463) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7463) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7464) all_54_11 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7464) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7465) all_18_0 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7465) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7466) all_18_0 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7458), (7466) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7467) $false
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7467) is inconsistent.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7468) ~ (all_54_11 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7469) all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7469) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7470) all_54_11 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7470) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7471) all_18_0 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7471) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7472) all_18_0 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7455), (7472) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7473) $false
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7473) is inconsistent.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474) all_54_11 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7474) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7475) all_18_0 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7475) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7476) all_18_0 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7452), (7476) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477) ~ (all_52_2 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7453), (7476) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7478) ~ (all_52_6 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7458), (7476) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7479) ~ (e2 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7455), (7476) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7480) ~ (e1 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (36), (97), (110), (117), (123), (125),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (128), (134), (135), (136), (139), (143),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (149), (157), (158), (159), (160), (162),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (193), (195), (196), (197), (200), (203),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (216), (217), (218), (219),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (228), (229), (230), (231), (233),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (248), (250), (258), (259), (260),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (272), (373), (5640), (5641), (5649),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279), (7280), (7281), (7282), (7287), (7288),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302), (7303), (7304), (7305), (7308), (7404),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7407), (7408), (7409), (7410), (7411), (7423),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424), (7427), (7431), (7434), (7441), (7446),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447), (7448), (7477), (7478), (7480),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | #669.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7481) ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7481) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7482) ~ (all_48_1 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7483) op(e0, e3) = all_48_1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7275), (7424), (7482), (7483), (function-axioms)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1035.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7484) ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7484) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7485) ~ (all_18_1 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7486) op(e0, e3) = all_18_1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_18_1,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (7424), (7486) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | (7487) all_18_1 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7439) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7488) ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_48_1 & $i(all_48_0) &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7488) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7489) ~ (all_48_0 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7490) op(e0, e3) = all_48_1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7491) op(all_48_1, e0) = all_48_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_48_1,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (7424), (7490) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7492) all_48_1 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7491), (7492) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7493) op(e1, e0) = all_48_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e0, e1, simplifying with (160), (7493)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7494) all_52_14 = all_48_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7494) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7495) all_54_11 = all_48_0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (7494) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7496) ~ (all_52_2 = all_48_0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7494) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7497) ~ (all_52_6 = all_48_0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7282), (7494) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7498) ~ (all_48_0 = e3)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7305), (7494) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7499) ~ (all_48_0 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | (7500) all_54_11 = e3
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7495), (7498), (7500) are inconsistent by
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | (7501) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7501) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) all_54_11 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7489), (7495), (7502) are inconsistent by
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1047.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) ~ (all_54_11 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7504) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) all_54_11 = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7495), (7499), (7505) are inconsistent by
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1046.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) all_54_11 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7495), (7506) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) all_48_0 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7507) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) all_48_0 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7496), (7508) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) ~ (all_52_2 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7497), (7508) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) ~ (all_52_6 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7489), (7508) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) ~ (e2 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7499), (7508) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) ~ (e1 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (36), (97), (110), (117), (123), (125),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (128), (134), (135), (136), (139), (143),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (149), (157), (158), (159), (160), (162),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (193), (195), (196), (197), (200), (203),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (216), (217), (218), (219),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (228), (229), (230), (231), (233),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (248), (250), (258), (259), (260),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (272), (373), (5640), (5641), (5649),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279), (7280), (7281), (7282), (7287), (7288),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302), (7303), (7304), (7305), (7308), (7404),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7407), (7408), (7409), (7410), (7411), (7423),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424), (7427), (7431), (7434), (7486), (7489),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7490), (7491), (7509), (7510), (7512),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | #669.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7513) ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7513) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7514) ~ (all_48_1 = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | (7515) op(e0, e3) = all_48_1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7275), (7424), (7514), (7515), (function-axioms)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1035.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7516) all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7516) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | (7517) op(e2, e0) = e1
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7410), (7517), (function-axioms) are
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | (7518) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7288), (7305), (7518),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | | #1049.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | (7519) all_54_10 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7292), (7519) are inconsistent by
% 188.87/29.10 | | | | | | | | | | | | | | | | sub-proof #932.
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | (7520) all_22_2 = e0
% 188.87/29.10 | | | | | | | | | | | | | (7521) ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 188.87/29.10 | | | | | | | | | | | | | & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.87/29.10 | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 188.87/29.10 | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | COMBINE_EQS: (251), (7520) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7522) all_10_2 = e0
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | SIMP: (7522) implies:
% 188.87/29.10 | | | | | | | | | | | | | (7523) all_10_2 = e0
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | COMBINE_EQS: (333), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7524) all_38_2 = e0
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (350), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7525) ~ (all_52_2 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (361), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7526) ~ (all_52_6 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (363), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7527) ~ (all_52_8 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (364), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7528) ~ (all_52_9 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (366), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7529) ~ (all_52_11 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (368), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7530) ~ (all_52_14 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (7290), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7531) ~ (e3 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (375), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7532) ~ (e2 = e0)
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | REDUCE: (45), (7523) imply:
% 188.87/29.10 | | | | | | | | | | | | | (7533) op(e1, e1) = e0
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 188.87/29.10 | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | (7534) ~ (all_24_2 = e1)
% 188.87/29.10 | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | REDUCE: (318), (7534) imply:
% 188.87/29.10 | | | | | | | | | | | | | | (7535) ~ (all_4_2 = e1)
% 188.87/29.10 | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.87/29.10 | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | (7536) ~ (all_32_2 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | REDUCE: (314), (7536) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | (7537) ~ (all_4_2 = e0)
% 188.87/29.10 | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.87/29.10 | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | (7538) all_54_5 = e3
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7538) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | (7539) all_4_2 = e3
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | REDUCE: (373), (7539) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | (7540) $false
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | CLOSE: (7540) is inconsistent.
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | (7541) ~ (all_54_5 = e3)
% 188.87/29.10 | | | | | | | | | | | | | | | | (7542) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | BETA: splitting (7542) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | (7543) all_54_5 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7543) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | (7544) all_4_2 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | REDUCE: (360), (7544) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | (7545) ~ (all_52_13 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | REDUCE: (373), (7544) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | (7546) ~ (e3 = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | REDUCE: (36), (7544) imply:
% 188.87/29.10 | | | | | | | | | | | | | | | | | (7547) op(e2, e2) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | (7548) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | BETA: splitting (7548) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7549) all_56_6 = e2 & op(e1, e3) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (7549), (function-axioms) are
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7550) all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | ALPHA: (7550) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7551) all_56_7 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7552) op(e1, e2) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (164), (168),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (211), (214), (216), (5645), (7282), (7288),
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7533), (7545), (7551), (7552), (function-axioms)
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #666.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | (7553) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.10 | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | BETA: splitting (7553) gives:
% 188.87/29.10 | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7554) all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | ALPHA: (7554) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7555) op(e1, e1) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7555), (function-axioms) are
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7556) all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | ALPHA: (7556) implies:
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7557) all_56_11 = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | | (7558) op(e1, e0) = e2
% 188.87/29.10 | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | (7559) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7559) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7560) all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7560) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7561) all_56_4 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | (7562) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7562) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7563) all_56_12 = e2 & op(e0, e3) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7563) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7564) all_56_12 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7565) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7565) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7566) all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7566) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7567) op(e3, e3) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7567), (function-axioms) are
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7568) all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7568) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7569) all_56_2 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (7570) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7570) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7571) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572) all_56_6 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (7564), (7569),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572), (function-axioms) are inconsistent by
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7573) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) all_56_7 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (7569), (7575),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #756.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7576) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7577) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) all_56_6 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (7533), (7557), (7574),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578), (function-axioms) are inconsistent by
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1617.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7579) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) all_56_12 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7564), (7580) are inconsistent by sub-proof
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1622.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7533), (7557), (7581),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | #1491.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7582) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7582) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7583) all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7525), (7583), (function-axioms) are
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1768.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7584) all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7561), (7564), (7584), (function-axioms)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #665.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7585) all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7585) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7586) all_56_13 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7587) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7587) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7588) all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7588) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7589) op(e3, e3) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (117), (141), (143), (157), (160), (162), (163),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (199), (206), (210),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (218), (219),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (268), (309), (314), (349), (358),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (360), (373), (7280), (7281), (7282), (7287),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7288), (7525), (7528), (7529), (7530), (7533),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7535), (7589), (function-axioms) are inconsistent
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1010.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7590) all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7590) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7591) all_56_1 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7592) op(e3, e2) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7547), (7591), (7593),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | #728.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7594) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7595) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) all_56_7 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (7547), (7586), (7592),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596), (function-axioms) are inconsistent by
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #727.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7561), (7586), (7597), (function-axioms)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #664.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7598) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7598) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7599) all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7599) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7600) all_56_4 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7561), (7600) are inconsistent by sub-proof
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7601) all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7601) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7602) op(e3, e0) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7280), (7602), (function-axioms) are
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | (7603) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7603) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7604) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7604) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7605) all_56_14 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (7533),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7561), (7605), (function-axioms) are inconsistent
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #663.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7606) all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7606) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7607) op(e0, e0) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7607), (function-axioms) are
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1692.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7608) all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7608) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7609) op(e2, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (7535), (7537), (7542),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7609), (function-axioms) are inconsistent by
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | sub-proof #1940.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | (7610) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7610) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7611) all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7611) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7612) op(e1, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7612), (function-axioms) are
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7613) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7613) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7614) all_56_14 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7615) op(e0, e1) = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (7615) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7616) all_52_11 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (7558) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7617) all_52_14 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7616) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | (7618) ~ (all_52_9 = e2)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | (7619) ~ (all_38_2 = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7524), (7619) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | (7620) $false
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7620) is inconsistent.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | (7621) ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7521) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7622) ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7622) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7623) op(e1, e0) = all_22_1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7624) op(all_22_1, e1) = all_22_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_22_1,
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (7558), (7623) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7625) all_22_1 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7624), (7625) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | (7626) op(e2, e1) = all_22_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7627) ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7627) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7628) ~ (all_38_0 = e3)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7629) op(e1, e0) = all_38_1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7630) op(all_38_1, e1) = all_38_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (7558), (7629) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7631) all_38_1 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e1, e2, simplifying with (165), (7626)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7632) all_52_9 = all_22_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7632) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7633) all_54_6 = all_22_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7632) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7634) ~ (all_52_1 = all_22_0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7632) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7635) ~ (all_52_8 = all_22_0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7632) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7636) ~ (all_52_13 = all_22_0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7636) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7637) ~ (all_52_13 = all_22_0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7618), (7632) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7638) ~ (all_22_0 = e2)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7528), (7632) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7639) ~ (all_22_0 = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7630), (7631) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7640) op(e2, e1) = all_38_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_0,
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e1, e2, simplifying with (7626), (7640)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_38_0 = all_22_0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7628), (7641) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | (7642) ~ (all_22_0 = e3)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7643) all_54_6 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7643) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7644) all_22_0 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7644) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7645) all_22_0 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7642), (7645) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7646) $false
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7646) is inconsistent.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | (7647) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7648) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7649) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) all_56_2 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7547), (7650), (7651),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #662.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7652) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) all_56_5 = e0 & op(e2, e1) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7653) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) all_56_5 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7654), (function-axioms) are inconsistent
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7655) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_56_10 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7657) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7658) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_56_4 = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) op(e3, e1) = e3
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7547), (7650), (7661),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #661.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7662) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7663) implies:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) all_56_5 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7647) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) all_54_6 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7665) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) all_22_0 = e2
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7638), (7666) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) $false
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7667) is inconsistent.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) ~ (all_54_6 = e2)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_54_6 = e1 | all_54_6 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7669) gives:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_54_6 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7670) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) all_22_0 = e1
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7634), (7671) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) ~ (all_52_1 = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7635), (7671) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) ~ (all_52_8 = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7637), (7671) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) ~ (all_52_13 = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7638), (7671) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) ~ (e2 = e1)
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (79), (85), (113), (117),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (134), (139), (141), (143), (145),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (157), (158), (159), (160), (162), (163),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (197),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (202), (206), (207), (209), (210),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (218), (219),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (233), (238), (239),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (268), (269), (271), (309), (314),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (358), (360), (373), (5640), (5644),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649), (7279), (7281), (7287), (7288), (7525),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527), (7528), (7529), (7530), (7533), (7535),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537), (7542), (7545), (7547), (7614), (7650),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659), (7660), (7664), (7669), (7672), (7673),
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674), (function-axioms) are inconsistent by
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #651.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_54_6 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7676) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_22_0 = e0
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7639), (7677) imply:
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) $false
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7678) is inconsistent.
% 188.87/29.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7656), (7679) are inconsistent by sub-proof
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1448.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7680) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) all_56_5 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (373), (7533),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547), (7650), (7656), (7681), (function-axioms)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #649.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7533), (7614), (7682),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7683) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) op(e2, e2) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7684), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7685) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7686) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) all_56_5 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7688) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7689) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) op(e3, e1) = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7647) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) all_54_6 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7691) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) all_22_0 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7692) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) all_22_0 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7638), (7693) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) $false
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7694) is inconsistent.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) all_54_6 = e1 | all_54_6 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7695) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) all_54_6 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7696) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_22_0 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7697) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) all_22_0 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7635), (7698) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) ~ (all_52_8 = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7690), (7699), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) all_54_6 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7700) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_22_0 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7701) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) all_22_0 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7639), (7702) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) $false
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7703) is inconsistent.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7704) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_56_5 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7687), (7705) are inconsistent by sub-proof
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1825.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (118), (157), (261), (7528), (7533), (7618),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647), (7706), (function-axioms) are inconsistent
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #647.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (7707), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7708) ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7558), (7708), (function-axioms) are inconsistent
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #768.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | (7709) ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7709) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | (7710) ~ (all_22_1 = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | (7711) op(e1, e0) = all_22_1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_22_1,
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (7558), (7711) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | (7712) all_22_1 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7713) ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7713) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7714) ~ (all_38_0 = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7715) op(e1, e0) = all_38_1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7716) op(all_38_1, e1) = all_38_0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (7558), (7715) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7717) all_38_1 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7716), (7717) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7718) op(e2, e1) = all_38_0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e1, e2, simplifying with (165), (7718)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_52_9 = all_38_0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7719) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7720) all_54_6 = all_38_0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7719) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7721) ~ (all_52_1 = all_38_0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7719) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7722) ~ (all_52_8 = all_38_0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7719) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7723) ~ (all_52_13 = all_38_0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7723) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7724) ~ (all_52_13 = all_38_0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7618), (7719) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7725) ~ (all_38_0 = e2)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7528), (7719) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7726) ~ (all_38_0 = e0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | (7727) all_54_6 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7727) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_38_0 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7714), (7728) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | (7729) $false
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7729) is inconsistent.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | (7730) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7730) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) all_54_6 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7731) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) all_38_0 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7725), (7732) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) $false
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7733) is inconsistent.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) ~ (all_54_6 = e2)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) all_54_6 = e1 | all_54_6 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7736) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7737) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_56_2 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7547), (7738), (7739),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #662.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7740) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) all_56_5 = e0 & op(e2, e1) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7741) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_56_5 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7742), (function-axioms) are inconsistent
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7743) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) all_56_10 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7745) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7746) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) all_56_4 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) op(e3, e1) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7749) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7750) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) op(e3, e1) = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7748), (7751), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7752) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_56_5 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7735) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) all_54_6 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7754) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) all_38_0 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7755) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_38_0 = e1
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7721), (7756) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) ~ (all_52_1 = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7722), (7756) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) ~ (all_52_8 = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7724), (7756) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) ~ (all_52_13 = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7725), (7756) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) ~ (e2 = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (79), (85), (113), (117),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (134), (139), (141), (143), (145),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (157), (158), (159), (160), (162), (163),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (197),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (202), (206), (207), (209), (210),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (215), (216), (218), (219),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (233), (238), (239),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (268), (269), (271), (309), (314),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (358), (360), (373), (5640), (5644),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649), (7279), (7281), (7287), (7288), (7525),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527), (7528), (7529), (7530), (7533), (7535),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537), (7542), (7545), (7547), (7614), (7735),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738), (7747), (7748), (7753), (7757), (7758),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759), (function-axioms) are inconsistent by
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #651.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_54_6 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7761) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_38_0 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7762) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) all_38_0 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7726), (7763) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) $false
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7764) is inconsistent.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (118), (157), (261), (7528), (7533), (7735),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765), (function-axioms) are inconsistent by
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7766) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) all_56_5 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (373), (7533),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547), (7738), (7744), (7767), (function-axioms)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #649.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7533), (7614), (7768),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7769) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) op(e2, e2) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7770), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7772) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) all_56_5 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (118), (157), (169), (218), (261),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528), (7533), (7720), (7722), (7726), (7735),
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773), (function-axioms) are inconsistent by
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (7774), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | (7775) ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7558), (7775), (function-axioms) are inconsistent
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #768.
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | (7776) all_54_5 = e1 | all_54_5 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7535), (7537), (7776) are inconsistent by
% 188.87/29.12 | | | | | | | | | | | | | | | | | sub-proof #1941.
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | End of split
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | (7777) all_32_2 = e0
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | COMBINE_EQS: (314), (7777) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | (7778) all_4_2 = e0
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | SIMP: (7778) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | (7779) all_4_2 = e0
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | COMBINE_EQS: (309), (7779) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | (7780) all_36_2 = e0
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | REDUCE: (352), (7779) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | (7781) ~ (all_52_4 = e0)
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | REDUCE: (356), (7779) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | (7782) ~ (all_52_7 = e0)
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | REDUCE: (360), (7779) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | (7783) ~ (all_52_13 = e0)
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | REDUCE: (7535), (7779) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | (7784) ~ (e1 = e0)
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | REDUCE: (36), (7779) imply:
% 188.87/29.12 | | | | | | | | | | | | | | | (7785) op(e2, e2) = e0
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.12 | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | (7786) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.87/29.12 | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 188.87/29.12 | | | | | | | | | | | | | | | | (222), (223), (224), (373), (5649), (7281),
% 188.87/29.12 | | | | | | | | | | | | | | | | (7780), (7785), (7786), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | inconsistent by sub-proof #832.
% 188.87/29.12 | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | (7787) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.12 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.87/29.12 | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | BETA: splitting (7787) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | (7788) all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7525), (7788), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1768.
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | (7789) all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | ALPHA: (7789) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | (7790) op(e0, e3) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | (7791) all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | ALPHA: (7791) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | (7792) op(e0, e0) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7288), (7792), (function-axioms) are
% 188.87/29.12 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | (7793) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.12 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | ALPHA: (7793) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | (7794) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 188.87/29.12 | | | | | | | | | | | | | | | | | | e0) = e0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | BETA: splitting (7794) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | (7795) all_56_9 = e0 & op(e3, e0) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | ALPHA: (7795) implies:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | (7796) op(e3, e0) = e0
% 188.87/29.12 | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | (7797) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7797) gives:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (7798) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7798) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7799) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (7799), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7800) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7790), (7800), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1022.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (7801) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7801) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7802) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7288), (7533), (7802),
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | #1394.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7803) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7803) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7804) all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7804) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7805) ~ (all_57_3 = e3)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7806) op(e1, e2) = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7807) op(e3, e2) = all_57_3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7806) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7808) all_52_6 = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | all_57_3, e2, e3, simplifying with (170), (7807)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7809) all_57_3 = all_52_4
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7805), (7809) imply:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7810) ~ (all_52_4 = e3)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7808) imply:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7811) ~ (all_52_4 = e1)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (203), (272), (5643), (7781), (7810), (7811) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #646.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7812) (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (7288), (7785), (7812),
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | #1393.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (7813) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7813) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (7814) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7814) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7815) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (7288), (7815),
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | #676.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7816) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7288), (7796), (7816),
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | #1382.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (7817) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7817) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7818) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7818), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (7819) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7819) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7820) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7820) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7821) ~ (all_57_12 = e0)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7822) op(e2, e2) = all_57_12
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7785), (7821), (7822), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1381.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (7823) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7823) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (7824) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7824) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (7825) ~ (all_57_14 = e0)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (7826) op(e1, e1) = all_57_14
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7533), (7825), (7826), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (7827) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7827) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (7828) op(e0, e0) = all_57_15
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (7829) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7829) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7830) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7830) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7831) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) op(e2, e2) = e3
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7832), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) ~ (all_57_15 = e3)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7288), (7828), (7835), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1276.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7836) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) op(e0, e2) = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7837) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) all_52_7 = e0
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7782), (7838) imply:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) $false
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7839) is inconsistent.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7840) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7840) gives:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7841) implies:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) op(e1, e1) = e2
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7842), (function-axioms) are
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (373), (7529),
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7785), (7829), (7843), (function-axioms)
% 188.87/29.13 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #763.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | (7844) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (7844) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7845) all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (7845) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7846) op(e2, e0) = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7783), (7846), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7847) all_56_11 = e0 & op(e1, e0) = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (7847) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7848) op(e1, e0) = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7530), (7848), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | (7849) all_24_2 = e1
% 188.87/29.14 | | | | | | | | | | | | | | (7850) ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 188.87/29.14 | | | | | | | | | | | | | | & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 188.87/29.14 | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 188.87/29.14 | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | COMBINE_EQS: (318), (7849) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7851) all_4_2 = e1
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | COMBINE_EQS: (292), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7852) all_44_2 = e1
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (349), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7853) ~ (all_52_1 = e1)
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (352), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7854) ~ (all_52_4 = e1)
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (354), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7855) ~ (all_52_6 = e1)
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (356), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7856) ~ (all_52_7 = e1)
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (358), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7857) ~ (all_52_9 = e1)
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (360), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7858) ~ (all_52_13 = e1)
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (373), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7859) ~ (e3 = e1)
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | REDUCE: (36), (7851) imply:
% 188.87/29.14 | | | | | | | | | | | | | | (7860) op(e2, e2) = e1
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 188.87/29.14 | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | (7861) all_54_12 = e3
% 188.87/29.14 | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | REF_CLOSE: (249), (7278), (7861) are inconsistent by
% 188.87/29.14 | | | | | | | | | | | | | | | sub-proof #1466.
% 188.87/29.14 | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | (7862) ~ (all_54_12 = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | (7863) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 188.87/29.14 | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.14 | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | (7864) all_54_8 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7864) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | (7865) all_52_2 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | REDUCE: (149), (7865) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | (7866) ~ (all_52_1 = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | REDUCE: (144), (7865) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | (7867) ~ (all_52_3 = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | REDUCE: (143), (7865) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | (7868) ~ (all_52_6 = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | SIMP: (7868) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | (7869) ~ (all_52_6 = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | REDUCE: (141), (7865) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | (7870) ~ (all_52_14 = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | (7871) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | BETA: splitting (7871) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | (7872) all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | ALPHA: (7872) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | (7873) all_56_6 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | (7874) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (7874) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7875) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (7875) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7876) all_56_2 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7873), (7876), (function-axioms) are inconsistent
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | by sub-proof #1458.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7877) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (7877) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7878) op(e2, e2) = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7860), (7878), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | (7879) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (7879) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7880) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (7880) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | (7881) all_56_5 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | (7882) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7882) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | (7883) all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7883) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | (7884) all_56_1 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | (7885) op(e3, e2) = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | (7886) all_54_4 = e3
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7866), (7886) are inconsistent by
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1409.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | (7887) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | (7888) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7888) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (7889) all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7889) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (7890) op(e3, e3) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7890), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (7891) all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7891) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (7892) all_56_2 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (7533), (7860), (7881), (7892),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | #1017.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | (7893) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7893) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (7894) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7873), (7894) are inconsistent by sub-proof
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | #1569.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (7895) all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7895) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | (7896) all_56_12 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (7860), (7897),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #797.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7898) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7899) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) all_56_5 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7881), (7900) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) e3 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7873), (7901) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) all_56_6 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (7282), (7533),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869), (7902), (function-axioms) are inconsistent
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1405.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7903) all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7903) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7904) op(e2, e0) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7905) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7906) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907) all_56_4 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7860), (7881), (7884), (7908),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #645.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7909) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7909) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7910) all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7910) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911) all_56_7 = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (7857), (7907), (7912),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1754.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7913) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7914) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7915) op(e1, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7533), (7915), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7916) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) all_56_14 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7860), (7885), (7918),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7919) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7533), (7881), (7907),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911), (7917), (7920), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #643.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7921) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) all_56_13 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7923) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) all_56_6 = e2 & op(e1, e3) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7924) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) all_56_6 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (7282), (7533),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869), (7925), (function-axioms) are inconsistent
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1405.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7533), (7881), (7907),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911), (7917), (7926), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #643.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7927) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7928) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) op(e1, e1) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7929), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7930) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) all_56_11 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7932) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7933) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) all_56_6 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (7533), (7911), (7931),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934), (function-axioms) are inconsistent by
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1524.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7935) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) op(e1, e2) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7855), (7936), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7937) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7938) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) op(e1, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7533), (7939), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) all_56_11 = e1 & op(e1, e0) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7940) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) all_56_11 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7931), (7941) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) e2 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7907), (7942) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) all_56_4 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (218),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (7287), (7529), (7533), (7881),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896), (7922), (7943), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7944) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) all_56_13 = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) op(e0, e2) = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (103), (112), (117), (118), (120), (121),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (128), (133), (134), (135), (136),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (143), (144), (145), (146), (148),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (164), (165),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (191), (192), (196),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (201), (202), (203), (206), (207),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (214), (216), (217), (218),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (227), (228),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (238), (239), (247),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (259), (260), (261), (269), (270),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (5640), (5642), (5649), (7275),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277), (7278), (7280), (7281), (7282), (7287),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288), (7525), (7527), (7529), (7530), (7533),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850), (7852), (7853), (7854), (7855), (7857),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858), (7860), (7863), (7881), (7887), (7946),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947), (function-axioms) are inconsistent by
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #639.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7948) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7949) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) op(e1, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7533), (7950), (function-axioms) are
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1959.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7951) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_56_14 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7953) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_56_12 = e2 & op(e0, e3) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) all_56_12 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7896), (7955) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) e2 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7956) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) e2 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7907), (7957) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_56_4 = e1
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (103), (112), (117), (118), (120), (121),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (128), (133), (134), (135), (136),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (143), (144), (145), (146), (148),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (164), (165),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (190), (191), (192), (196),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (201), (202), (203), (206), (207),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (214), (216), (217), (218),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (227), (228),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (238), (239), (247),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (259), (260), (261), (269), (270),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (5640), (5642), (5649), (7275),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277), (7278), (7280), (7281), (7282), (7287),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288), (7525), (7527), (7529), (7530), (7533),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850), (7852), (7853), (7854), (7855), (7857),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858), (7860), (7863), (7881), (7887), (7946),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958), (function-axioms) are inconsistent by
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7959) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) all_56_13 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7945), (7960) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) e2 = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7961) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) e2 = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7907), (7962) imply:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) all_56_4 = e0
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7533), (7881), (7952),
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963), (function-axioms) are inconsistent by
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1813.
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7964) gives:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7965) implies:
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) all_56_14 = e2
% 188.87/29.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (97), (103), (112), (117), (118), (120),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (128), (133), (134), (135),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (143), (144), (145), (146),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (158), (159), (160), (162), (164),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (170), (190), (191), (192),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (201), (202), (203), (206),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (216), (217),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (227),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (238), (239),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (259), (260), (261), (269),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (271), (272), (5640), (5642), (5649),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275), (7277), (7278), (7280), (7281), (7282),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287), (7288), (7525), (7527), (7529), (7530),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7850), (7852), (7853), (7854), (7855),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857), (7858), (7860), (7863), (7881), (7887),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946), (7966), (function-axioms) are inconsistent
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #638.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7967) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) op(e0, e0) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7968), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1692.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7969) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) op(e2, e1) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (7904), (7970),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7971) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7972) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) op(e1, e1) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7973), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7974) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_56_14 = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7860), (7881), (7884), (7976),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #645.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7977) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7978) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_56_7 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7860), (7885), (7980),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7981) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7982) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) all_56_7 = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7979), (7983) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1868.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7984) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) all_56_13 = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7986) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7987) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) all_56_4 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (218),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (7287), (7529), (7533), (7881),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896), (7985), (7988), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7989) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7990) op(e2, e1) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7857), (7990), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7533), (7975), (7991),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1509.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7992) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7993) op(e0, e2) = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (97), (103), (112), (117), (118), (120),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (128), (133), (134), (135),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (143), (144), (145), (146),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (158), (159), (160), (162), (164),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (170), (190), (191), (192),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (201), (202), (203), (206),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (210), (211), (214), (216), (217),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (227),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (238), (239),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (259), (260), (261), (269),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (271), (272), (5640), (5642), (5649),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275), (7277), (7278), (7280), (7281), (7282),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287), (7288), (7525), (7527), (7529), (7530),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (7850), (7852), (7853), (7854), (7855),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857), (7858), (7860), (7863), (7881), (7887),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975), (7993), (function-axioms) are inconsistent
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #638.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (7994) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7994) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (7995) op(e2, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7860), (7995), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | (7996) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7996) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (7997) all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7997) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (7998) all_56_7 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (7533), (7873), (7998), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (7999) all_56_13 = e3 & op(e0, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7999) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8000) all_56_13 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (165),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (218), (219), (220), (7287),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (7288), (7529), (7533), (7856), (7857), (7881),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8000), (function-axioms) are inconsistent by
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | sub-proof #986.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8001) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (8001), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8002) all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | ALPHA: (8002) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8003) op(e1, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7869), (8003), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | (8004) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (7282), (7533), (8004),
% 188.87/29.15 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | #1406.
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | (8005) ~ (all_54_8 = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | | (8006) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | REDUCE: (259), (8005) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | (8007) ~ (all_52_2 = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | BETA: splitting (8006) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | (8008) all_54_8 = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8008) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | (8009) all_52_2 = e2
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | REDUCE: (5641), (8009) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | (8010) $false
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | CLOSE: (8010) is inconsistent.
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | (8011) ~ (all_54_8 = e2)
% 188.87/29.15 | | | | | | | | | | | | | | | | | (8012) all_54_8 = e1 | all_54_8 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | BETA: splitting (8012) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8013) all_54_8 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8013) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8014) all_52_2 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | REDUCE: (144), (8014) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8015) ~ (all_52_3 = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | SIMP: (8015) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8016) ~ (all_52_3 = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | REDUCE: (143), (8014) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8017) ~ (all_52_6 = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | REDUCE: (141), (8014) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8018) ~ (all_52_14 = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | SIMP: (8018) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8019) ~ (all_52_14 = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8014) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | (8020) ~ (e2 = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | (8021) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (8021) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8022) all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (8022) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8023) op(e3, e3) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8023), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8024) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (8024) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8025) all_56_2 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | (8026) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7856), (8016), (8026),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | #1321.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | (8027) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8027) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8028) all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8028) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8029) all_56_14 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | (8030) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8030) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8031) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8031) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8032) all_56_6 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8033) op(e1, e3) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (126), (136),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (140), (158), (160), (162), (163), (164), (168),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (170), (193), (195), (210), (211), (213), (214),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (219), (220), (221), (226), (228),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (233), (236), (239), (249),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (5642), (5645), (5649), (7278),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (7279), (7280), (7282), (7288), (7525), (7526),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (7530), (7533), (7855), (7856), (7858), (7860),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (7863), (8016), (8019), (8025), (8029), (8032),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8033), (function-axioms) are inconsistent by
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8034) all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8034) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8035) op(e1, e2) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7855), (8035), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | (8036) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (7533), (8019), (8036),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | #1528.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8037) all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8037) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8038) op(e0, e0) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7288), (8038), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | (8039) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (8039) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8040) all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (8040) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8041) op(e1, e3) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8007), (8041), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8042) all_56_12 = e3 & op(e0, e3) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (8042) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | (8043) all_56_12 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | (8044) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7856), (8016), (8044),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | #1321.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | (8045) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8045) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8046) all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8046) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | (8047) all_56_14 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | (8048) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8049) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8049) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8050) all_56_6 = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | (8051) op(e1, e3) = e1
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | (8052) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8052) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8053) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) all_56_2 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (126), (136),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (158), (160), (162), (163), (164), (168),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (193), (195), (210), (211), (213), (214),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (219), (220), (221), (226), (228),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (233), (236), (239), (249),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (5642), (5645), (5649), (7278),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (7279), (7280), (7282), (7288), (7525), (7526),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (7530), (7533), (7855), (7856), (7858), (7860),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (7863), (8016), (8019), (8047), (8050), (8051),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (8054), (function-axioms) are inconsistent by
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8055) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) op(e2, e2) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7860), (8056), (function-axioms) are
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | (8057) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8057) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8058) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) all_56_5 = e3
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287), (7533), (8059), (8060), (function-axioms)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1029.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8061) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8062) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8063) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) all_56_12 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8043), (8064) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) e3 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8059), (8065) imply:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) all_56_5 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533), (8066), (function-axioms) are inconsistent
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8067) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8068) implies:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) all_56_13 = e0
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (158), (7856), (8043), (8070),
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #630.
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8045) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8043), (8069), (8071) are inconsistent
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #629.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8072) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8073) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) all_56_14 = e2
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8047), (8074) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1815.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7287), (8075) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #987.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8076) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) op(e0, e0) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7288), (8077), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_56_14 = e0 & op(e0, e1) = e0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8078) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) op(e0, e1) = e0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7529), (8079), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (8080), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | (8081) all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8081) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | (8082) op(e1, e2) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7855), (8082), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | (8083) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (7533), (8019), (8083),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | | #1528.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | (8084) all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8084) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | (8085) op(e0, e0) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7288), (8085), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8086) all_54_8 = e0
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8086) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8087) all_52_2 = e0
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (7525), (8087) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8088) $false
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | CLOSE: (8088) is inconsistent.
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | (8089) all_20_2 = e3
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | COMBINE_EQS: (325), (8089) imply:
% 188.87/29.16 | | | | | | | | | | | | (8090) all_10_2 = e3
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | SIMP: (8090) implies:
% 188.87/29.16 | | | | | | | | | | | | (8091) all_10_2 = e3
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | REDUCE: (363), (8091) imply:
% 188.87/29.16 | | | | | | | | | | | | (8092) ~ (all_52_8 = e3)
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | REDUCE: (364), (8091) imply:
% 188.87/29.16 | | | | | | | | | | | | (8093) ~ (all_52_9 = e3)
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | REDUCE: (45), (8091) imply:
% 188.87/29.16 | | | | | | | | | | | | (8094) op(e1, e1) = e3
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | (8095) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.16 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | BETA: splitting (8095) gives:
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | (8096) all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | ALPHA: (8096) implies:
% 188.87/29.16 | | | | | | | | | | | | | | (8097) op(e3, e3) = e3
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8097), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | (8098) all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | ALPHA: (8098) implies:
% 188.87/29.16 | | | | | | | | | | | | | | (8099) op(e3, e2) = e3
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | (8100) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.16 | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | BETA: splitting (8100) gives:
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | (8101) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | ALPHA: (8101) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8102) all_56_2 = e3
% 188.87/29.16 | | | | | | | | | | | | | | | | (8103) op(e2, e3) = e3
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 188.87/29.16 | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8103) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8104) all_52_1 = e3
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 188.87/29.16 | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8099) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8105) all_52_4 = e3
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | REDUCE: (146), (8104) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8106) ~ (all_52_9 = e3)
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | REDUCE: (134), (8105) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8107) ~ (all_52_8 = e3)
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | REDUCE: (133), (8105) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8108) ~ (all_52_12 = e3)
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | REDUCE: (352), (8105) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8109) ~ (all_4_2 = e3)
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | (8110) ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | ALPHA: (8110) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | (8111) op(e3, e2) = all_12_1
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8112) ~ (all_46_2 = e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (5639), (8112) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8113) $false
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | CLOSE: (8113) is inconsistent.
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8114) ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_12_1,
% 188.87/29.16 | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (8099), (8111) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8115) all_12_1 = e3
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | BETA: splitting (8114) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8116) ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | ALPHA: (8116) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8117) ~ (all_46_0 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8118) op(e3, e2) = all_46_1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8119) op(all_46_1, e3) = all_46_0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (67), (110), (118),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8102), (8103), (8117), (8118), (8119),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | #624.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8120) ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | ALPHA: (8120) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8121) ~ (all_46_1 = e0)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8122) op(e3, e2) = all_46_1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (67), (110), (118),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8102), (8103), (8121), (8122), (function-axioms)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #623.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | (8123) ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | ALPHA: (8123) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | (8124) ~ (all_12_1 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | (8125) op(e3, e2) = all_12_1
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8126) ~ (all_46_2 = e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (5639), (8126) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8127) $false
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | CLOSE: (8127) is inconsistent.
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8128) ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_12_1,
% 188.87/29.16 | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (8099), (8125) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8129) all_12_1 = e3
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | BETA: splitting (8128) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8130) ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | ALPHA: (8130) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8131) ~ (all_46_0 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8132) op(e3, e2) = all_46_1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8133) op(all_46_1, e3) = all_46_0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (67), (110), (118),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8102), (8103), (8131), (8132), (8133),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | #624.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8134) ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | ALPHA: (8134) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8135) ~ (all_46_1 = e0)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8136) op(e3, e2) = all_46_1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (67), (110), (118),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8102), (8103), (8135), (8136), (function-axioms)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #623.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | (8137) all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | ALPHA: (8137) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8138) op(e2, e2) = e3
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8138), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | (8139) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.16 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7281), (8093), (8139),
% 188.87/29.16 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | | | #1455.
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | (8140) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.16 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | REF_CLOSE: (168), (169), (7280), (8092), (8140),
% 188.87/29.16 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | #1296.
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | End of split
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | End of split
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | (8141) all_14_2 = e1
% 188.87/29.16 | | | | | | | | (8142) ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 188.87/29.16 | | | | | | | | op(e0, e1) = all_14_1 & $i(all_14_0) & $i(all_14_1))
% 188.87/29.16 | | | | | | | | | ( ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 188.87/29.16 | | | | | | | | $i(all_14_1))
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | COMBINE_EQS: (327), (8141) imply:
% 188.87/29.16 | | | | | | | | (8143) all_16_2 = e1
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | REDUCE: (351), (8141) imply:
% 188.87/29.16 | | | | | | | | (8144) ~ (all_52_3 = e1)
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | REDUCE: (362), (8141) imply:
% 188.87/29.16 | | | | | | | | (8145) ~ (all_52_7 = e1)
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | REDUCE: (369), (8141) imply:
% 188.87/29.16 | | | | | | | | (8146) ~ (all_52_11 = e1)
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | REDUCE: (370), (8141) imply:
% 188.87/29.16 | | | | | | | | (8147) ~ (all_52_12 = e1)
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | REDUCE: (371), (8141) imply:
% 188.87/29.16 | | | | | | | | (8148) ~ (all_52_13 = e1)
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | REDUCE: (372), (8141) imply:
% 188.87/29.16 | | | | | | | | (8149) ~ (all_52_14 = e1)
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | REDUCE: (51), (8141) imply:
% 188.87/29.16 | | | | | | | | (8150) op(e0, e0) = e1
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | BETA: splitting (55) gives:
% 188.87/29.16 | | | | | | | |
% 188.87/29.16 | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | | (8151) ~ (all_16_2 = e1)
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | | REDUCE: (8143), (8151) imply:
% 188.87/29.16 | | | | | | | | | (8152) $false
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | | CLOSE: (8152) is inconsistent.
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | | (8153) ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 188.87/29.16 | | | | | | | | | op(e0, e1) = all_16_1 & $i(all_16_0) &
% 188.87/29.16 | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1) =
% 188.87/29.16 | | | | | | | | | all_16_1 & $i(all_16_1))
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | | BETA: splitting (61) gives:
% 188.87/29.16 | | | | | | | | |
% 188.87/29.16 | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | (8154) ~ (all_20_2 = e3)
% 188.87/29.16 | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | REDUCE: (325), (8154) imply:
% 188.87/29.16 | | | | | | | | | | (8155) ~ (all_10_2 = e3)
% 188.87/29.16 | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | BETA: splitting (64) gives:
% 188.87/29.16 | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | (8156) ~ (all_22_2 = e0)
% 188.87/29.16 | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | REDUCE: (251), (8156) imply:
% 188.87/29.16 | | | | | | | | | | | (8157) ~ (all_10_2 = e0)
% 188.87/29.16 | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | BETA: splitting (194) gives:
% 188.87/29.16 | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | (8158) all_54_10 = e3
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | REF_CLOSE: (336), (8155), (8158) are inconsistent by
% 188.87/29.16 | | | | | | | | | | | | sub-proof #983.
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | (8159) ~ (all_54_10 = e3)
% 188.87/29.16 | | | | | | | | | | | | (8160) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | BETA: splitting (8160) gives:
% 188.87/29.16 | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | (8161) all_54_10 = e2
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | REF_CLOSE: (336), (375), (8161) are inconsistent by sub-proof
% 188.87/29.16 | | | | | | | | | | | | | #982.
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | (8162) ~ (all_54_10 = e2)
% 188.87/29.16 | | | | | | | | | | | | | (8163) all_54_10 = e1 | all_54_10 = e0
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | BETA: splitting (8163) gives:
% 188.87/29.16 | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | (8164) all_54_10 = e1
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | COMBINE_EQS: (336), (8164) imply:
% 188.87/29.16 | | | | | | | | | | | | | | (8165) all_10_2 = e1
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | SIMP: (8165) implies:
% 188.87/29.16 | | | | | | | | | | | | | | (8166) all_10_2 = e1
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | REDUCE: (350), (8166) imply:
% 188.87/29.16 | | | | | | | | | | | | | | (8167) ~ (all_52_2 = e1)
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | REDUCE: (363), (8166) imply:
% 188.87/29.16 | | | | | | | | | | | | | | (8168) ~ (all_52_8 = e1)
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | REDUCE: (8155), (8166) imply:
% 188.87/29.16 | | | | | | | | | | | | | | (8169) ~ (e3 = e1)
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | REDUCE: (375), (8166) imply:
% 188.87/29.16 | | | | | | | | | | | | | | (8170) ~ (e2 = e1)
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | REDUCE: (45), (8166) imply:
% 188.87/29.16 | | | | | | | | | | | | | | (8171) op(e1, e1) = e1
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.16 | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | (8172) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.16 | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | BETA: splitting (8172) gives:
% 188.87/29.16 | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | (8173) all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | ALPHA: (8173) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8174) op(e3, e3) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (8174), (function-axioms) are
% 188.87/29.16 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | (8175) all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | ALPHA: (8175) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | (8176) all_56_2 = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | (8177) op(e2, e3) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | (8178) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | BETA: splitting (8178) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8179) all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | ALPHA: (8179) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8180) op(e3, e3) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8176), (8180), (function-axioms) are inconsistent
% 188.87/29.16 | | | | | | | | | | | | | | | | | | by sub-proof #1844.
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8181) all_56_1 = e1 & op(e3, e2) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | ALPHA: (8181) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8182) all_56_1 = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8183) op(e3, e2) = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 188.87/29.16 | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8177) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8184) all_52_1 = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 188.87/29.16 | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8183) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8185) all_52_4 = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (149), (8184) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8186) ~ (all_52_2 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (148), (8184) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8187) ~ (all_52_3 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (145), (8184) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8188) ~ (all_52_13 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (136), (8185) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8189) ~ (all_52_6 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | SIMP: (8189) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8190) ~ (all_52_6 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (135), (8185) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8191) ~ (all_52_7 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (134), (8185) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8192) ~ (all_52_8 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (133), (8185) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8193) ~ (all_52_12 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | REDUCE: (352), (8185) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8194) ~ (all_4_2 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | SIMP: (8194) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | (8195) ~ (all_4_2 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8196) ~ (all_46_2 = e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | REDUCE: (5639), (8196) imply:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8197) $false
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | CLOSE: (8197) is inconsistent.
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | (8198) ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (8198) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | (8199) ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (8199) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | (8200) ~ (all_46_0 = e1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | (8201) op(e3, e2) = all_46_1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | (8202) op(all_46_1, e3) = all_46_0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | (8203) ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8203) implies:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | (8204) ~ (all_12_0 = e0)
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | (8205) op(e3, e2) = all_12_1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | (8206) op(all_12_1, e3) = all_12_0
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (8183), (8201) gives:
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | | (8207) all_46_1 = e1
% 188.87/29.16 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | all_46_1, e2, e3, simplifying with (8201), (8205)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8208) all_46_1 = all_12_1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8207), (8208) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8209) all_12_1 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8209) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8210) all_12_1 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8202), (8207) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8211) op(e1, e3) = all_46_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8206), (8210) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8212) op(e1, e3) = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | all_12_0, e3, e1, simplifying with (163), (8212)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8213) all_52_2 = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | all_46_0, e3, e1, simplifying with (163), (8211)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8214) all_52_2 = all_46_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8213), (8214) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8215) all_46_0 = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8215) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8216) all_46_0 = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8213) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8217) all_54_8 = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8213) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8218) ~ (all_52_3 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8218) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8219) ~ (all_52_3 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8213) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8220) ~ (all_52_6 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8220) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8221) ~ (all_52_6 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8213) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8222) ~ (all_52_14 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8222) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8223) ~ (all_52_14 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8213) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8224) ~ (all_12_0 = e2)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8200), (8216) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8225) ~ (all_12_0 = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8226) all_54_8 = e3
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8217), (8226) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8227) all_12_0 = e3
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8227) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8228) all_12_0 = e3
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8228) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8229) ~ (all_52_3 = e3)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8228) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8230) ~ (all_52_6 = e3)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8223), (8228) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8231) ~ (all_52_14 = e3)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (118),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (120), (121), (125), (139), (140), (157), (158),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (192), (197), (199), (201),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (211), (212), (213),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (227), (228), (229), (230),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (231), (233), (238), (249), (260), (268), (270),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (349), (356), (358), (360), (373), (5640), (5642),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (5643), (5645), (5649), (8142), (8144), (8145),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8146), (8147), (8148), (8149), (8150), (8153),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8167), (8168), (8171), (8176), (8182), (8183),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8190), (8195), (8229), (8230), (8231),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | #611.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8232) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8204), (8217), (8224), (8225), (8232) are
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #610.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8233) ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8233) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8234) ~ (all_12_1 = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8235) op(e3, e2) = all_12_1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8183), (8201), (8234), (8235), (function-axioms)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #609.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | (8236) ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (8236) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | (8237) ~ (all_46_1 = e0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | (8238) op(e3, e2) = all_46_1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8239) ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8239) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8240) ~ (all_12_0 = e0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8241) op(e3, e2) = all_12_1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8242) op(all_12_1, e3) = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (8183), (8238) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8243) all_46_1 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | all_46_1, e2, e3, simplifying with (8238), (8241)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8244) all_46_1 = all_12_1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8243), (8244) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8245) all_12_1 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8245) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8246) all_12_1 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8242), (8246) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8247) op(e1, e3) = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | all_12_0, e3, e1, simplifying with (163), (8247)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8248) all_52_2 = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8248) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8249) all_54_8 = all_12_0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8248) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8250) ~ (all_52_3 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8250) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8251) ~ (all_52_3 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8248) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8252) ~ (all_52_6 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8252) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8253) ~ (all_52_6 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8248) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8254) ~ (all_52_14 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (8254) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8255) ~ (all_52_14 = all_12_0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8248) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8256) ~ (all_12_0 = e2)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8167), (8248) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8257) ~ (all_12_0 = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8258) all_54_8 = e3
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8249), (8258) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8259) all_12_0 = e3
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8259) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8260) all_12_0 = e3
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8251), (8260) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8261) ~ (all_52_3 = e3)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8253), (8260) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8262) ~ (all_52_6 = e3)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8255), (8260) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8263) ~ (all_52_14 = e3)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (118),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (120), (121), (125), (139), (140), (157), (158),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (192), (197), (199), (201),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (211), (212), (213),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (227), (228), (229), (230),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (231), (233), (238), (249), (260), (268), (270),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (349), (356), (358), (360), (373), (5640), (5642),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (5643), (5645), (5649), (8142), (8144), (8145),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8146), (8147), (8148), (8149), (8150), (8153),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8167), (8168), (8171), (8176), (8182), (8183),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8190), (8195), (8261), (8262), (8263),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | #611.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8264) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8240), (8249), (8256), (8257), (8264) are
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #610.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8265) ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8265) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8266) ~ (all_12_1 = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8267) op(e3, e2) = all_12_1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8183), (8238), (8266), (8267), (function-axioms)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #609.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | (8268) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (8147), (8168), (8268),
% 188.87/29.17 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.17 | | | | | | | | | | | | | | | | | #608.
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | (8269) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.17 | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (8144), (8167), (8269),
% 188.87/29.17 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.17 | | | | | | | | | | | | | | | #607.
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | (8270) all_54_10 = e0
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | REF_CLOSE: (336), (8157), (8270) are inconsistent by
% 188.87/29.17 | | | | | | | | | | | | | | sub-proof #932.
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | (8271) all_22_2 = e0
% 188.87/29.17 | | | | | | | | | | | (8272) ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 188.87/29.17 | | | | | | | | | | | & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.87/29.17 | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 188.87/29.17 | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | COMBINE_EQS: (251), (8271) imply:
% 188.87/29.17 | | | | | | | | | | | (8273) all_10_2 = e0
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (350), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8274) ~ (all_52_2 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (361), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8275) ~ (all_52_6 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (363), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8276) ~ (all_52_8 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (364), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8277) ~ (all_52_9 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (366), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8278) ~ (all_52_11 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (368), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8279) ~ (all_52_14 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (8155), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8280) ~ (e3 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (375), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8281) ~ (e2 = e0)
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | REDUCE: (45), (8273) imply:
% 188.87/29.17 | | | | | | | | | | | (8282) op(e1, e1) = e0
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | BETA: splitting (67) gives:
% 188.87/29.17 | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | (8283) ~ (all_24_2 = e1)
% 188.87/29.17 | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | REDUCE: (318), (8283) imply:
% 188.87/29.17 | | | | | | | | | | | | (8284) ~ (all_4_2 = e1)
% 188.87/29.17 | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.87/29.17 | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | (8285) ~ (all_32_2 = e0)
% 188.87/29.17 | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | REDUCE: (314), (8285) imply:
% 188.87/29.17 | | | | | | | | | | | | | (8286) ~ (all_4_2 = e0)
% 188.87/29.17 | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.87/29.17 | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | (8287) all_54_5 = e3
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | COMBINE_EQS: (268), (8287) imply:
% 188.87/29.17 | | | | | | | | | | | | | | (8288) all_4_2 = e3
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | REDUCE: (373), (8288) imply:
% 188.87/29.17 | | | | | | | | | | | | | | (8289) $false
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | CLOSE: (8289) is inconsistent.
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | (8290) ~ (all_54_5 = e3)
% 188.87/29.17 | | | | | | | | | | | | | | (8291) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | BETA: splitting (8291) gives:
% 188.87/29.17 | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | (8292) all_54_5 = e2
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8292) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | (8293) all_4_2 = e2
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | REDUCE: (354), (8293) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | (8294) ~ (all_52_6 = e2)
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | REDUCE: (358), (8293) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | (8295) ~ (all_52_9 = e2)
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | REDUCE: (360), (8293) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | (8296) ~ (all_52_13 = e2)
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | REDUCE: (373), (8293) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | (8297) ~ (e3 = e2)
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | REDUCE: (36), (8293) imply:
% 188.87/29.17 | | | | | | | | | | | | | | | (8298) op(e2, e2) = e2
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.17 | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | (8299) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.87/29.17 | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | BETA: splitting (8299) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | (8300) all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | ALPHA: (8300) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | (8301) all_56_4 = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | (8302) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.87/29.17 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.87/29.17 | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (8296), (8302),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.17 | | | | | | | | | | | | | | | | | | #736.
% 188.87/29.17 | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | (8303) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 188.87/29.17 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.87/29.17 | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | BETA: splitting (8303) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | (8304) all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | ALPHA: (8304) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | (8305) all_56_11 = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | (8306) op(e1, e0) = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | (8307) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8307) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8308) all_56_12 = e2 & op(e0, e3) = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8308) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8309) all_56_12 = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8310) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8310) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8311) all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8311) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8312) op(e3, e3) = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8312), (function-axioms) are
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8313) all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8313) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8314) all_56_2 = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | (8315) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8315) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8316) all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8316) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8317) all_56_2 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8314), (8317) are inconsistent by sub-proof
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | #1713.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8318) all_56_3 = e1 & op(e2, e2) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8318) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8319) op(e2, e2) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8298), (8319), (function-axioms) are
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | (8320) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8320) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8321) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8321) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8322) all_56_5 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (8323) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8323) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8324) all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8324) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325) op(e3, e3) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (8325), (function-axioms) are
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326) all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8326) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327) all_56_2 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (373), (8282), (8322),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (function-axioms) are inconsistent by
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1547.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (8328) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8328) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8329) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8329) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330) all_56_6 = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8309), (8314),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330), (function-axioms) are inconsistent by
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8331) all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8331) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8332) op(e0, e3) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (8332), (function-axioms) are
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8333) all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8333) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8334) op(e2, e0) = e1
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (8334), (function-axioms) are
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | (8335) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8335) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8336) all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8336) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8337) all_56_6 = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (216), (8149), (8282), (8337), (function-axioms)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1527.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8338) all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | (8282), (8301), (8309), (8338), (function-axioms)
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #665.
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8339) all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8339) implies:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | (8340) all_56_13 = e2
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8341) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8341) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8342) all_56_1 = e0 & op(e3, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8342) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8343) all_56_1 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (8344) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (8343), (8344),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (8345) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (8147), (8301), (8345),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | #920.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8346) all_56_3 = e0 & op(e2, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8346) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8347) op(e2, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8298), (8347), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8348) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8348) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8349) all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8349) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8350) all_56_7 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (216), (8149), (8282), (8350), (function-axioms)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1521.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8351) all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8282), (8301), (8340), (8351), (function-axioms)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #664.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8352) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8352) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8353) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8353) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8354) all_56_14 = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8355) op(e0, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (117),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (143), (145), (146),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (149), (157), (160), (162), (164), (165), (168),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (169), (170), (195), (196), (197), (198), (200),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (201), (202), (206), (212), (214), (216), (217),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (229), (232), (233),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (235), (239), (258), (259), (260), (261), (269),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (270), (271), (373), (5640), (5641), (5644),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (5645), (5649), (8142), (8146), (8147), (8148),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8150), (8153), (8272), (8274), (8275), (8276),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8277), (8279), (8282), (8294), (8295), (8296),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8298), (8305), (8306), (8354), (8355),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | #595.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8356) all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8356) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8357) op(e0, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8357), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8358) all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | ALPHA: (8358) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8359) op(e0, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8359), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8360) all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | ALPHA: (8360) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8361) op(e2, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (8284), (8286), (8291),
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8361), (function-axioms) are inconsistent by
% 188.87/29.18 | | | | | | | | | | | | | | | | | sub-proof #1940.
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | (8362) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.18 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | BETA: splitting (8362) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8363) all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | ALPHA: (8363) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8364) op(e1, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (8364), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8365) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | ALPHA: (8365) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8366) all_56_14 = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8367) op(e0, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | (8368) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (8296), (8368),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | #736.
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | (8369) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | BETA: splitting (8369) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8370) all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | ALPHA: (8370) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8371) all_56_11 = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8372) op(e1, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (117),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (143), (145), (146),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (149), (157), (160), (162), (164), (165), (168),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (169), (170), (195), (196), (197), (198), (200),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (201), (202), (206), (212), (214), (216), (217),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (229), (232), (233),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (235), (239), (258), (259), (260), (261), (269),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (270), (271), (373), (5640), (5641), (5644),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (5645), (5649), (8142), (8146), (8147), (8148),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8150), (8153), (8272), (8274), (8275), (8276),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8277), (8279), (8282), (8294), (8295), (8296),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8298), (8366), (8367), (8371), (8372),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | #595.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8373) all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | ALPHA: (8373) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8374) op(e0, e0) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (206), (207), (209), (8144), (8366), (8374),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | #1228.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | (8375) all_54_5 = e1 | all_54_5 = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | REF_CLOSE: (268), (8284), (8286), (8375) are inconsistent by
% 188.87/29.18 | | | | | | | | | | | | | | | sub-proof #1941.
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | (8376) all_32_2 = e0
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | COMBINE_EQS: (314), (8376) imply:
% 188.87/29.18 | | | | | | | | | | | | | (8377) all_4_2 = e0
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | SIMP: (8377) implies:
% 188.87/29.18 | | | | | | | | | | | | | (8378) all_4_2 = e0
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | COMBINE_EQS: (309), (8378) imply:
% 188.87/29.18 | | | | | | | | | | | | | (8379) all_36_2 = e0
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | REDUCE: (360), (8378) imply:
% 188.87/29.18 | | | | | | | | | | | | | (8380) ~ (all_52_13 = e0)
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | REDUCE: (8284), (8378) imply:
% 188.87/29.18 | | | | | | | | | | | | | (8381) ~ (e1 = e0)
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | REDUCE: (36), (8378) imply:
% 188.87/29.18 | | | | | | | | | | | | | (8382) op(e2, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.87/29.18 | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | (8383) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.87/29.18 | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | BETA: splitting (8383) gives:
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | (8384) all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | ALPHA: (8384) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | (8385) op(e3, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8385), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | (8386) all_56_1 = e0 & op(e3, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | ALPHA: (8386) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | (8387) all_56_1 = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 188.87/29.18 | | | | | | | | | | | | | | | (227), (228), (373), (8145), (8382), (8387),
% 188.87/29.18 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | #874.
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | (8388) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.87/29.18 | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | BETA: splitting (8388) gives:
% 188.87/29.18 | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | (8389) all_56_4 = e0 & op(e3, e1) = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | ALPHA: (8389) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | (8390) all_56_4 = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.18 | | | | | | | | | | | | | | | (8282), (8390), (function-axioms) are inconsistent
% 188.87/29.18 | | | | | | | | | | | | | | | by sub-proof #1809.
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | (8391) all_56_9 = e0 & op(e3, e0) = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | ALPHA: (8391) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | (8392) all_56_9 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | (8393) op(e3, e0) = e0
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.87/29.18 | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | (8394) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | BETA: splitting (8394) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8395) all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (159),
% 188.87/29.18 | | | | | | | | | | | | | | | | | (160), (164), (214), (215), (216), (222), (223),
% 188.87/29.18 | | | | | | | | | | | | | | | | | (224), (231), (373), (5649), (8144), (8148),
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8149), (8282), (8379), (8382), (8395),
% 188.87/29.18 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | #593.
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8396) all_56_3 = e0 & op(e2, e2) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | ALPHA: (8396) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | (8397) all_56_3 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | (8398) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | BETA: splitting (8398) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8399) all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | ALPHA: (8399) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8400) op(e3, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8400), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8401) all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (159),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (160), (164), (214), (215), (216), (222), (223),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (224), (231), (373), (5649), (8144), (8148),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8149), (8282), (8379), (8382), (8401),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | #593.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | (8402) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | BETA: splitting (8402) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8403) all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | ALPHA: (8403) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8404) all_56_6 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (216), (8149), (8282), (8404), (function-axioms)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1527.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8405) all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | ALPHA: (8405) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8406) all_56_12 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | (8407) op(e0, e3) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8408) all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (8408) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8409) op(e0, e0) = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8409), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8410) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (8410) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8411) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8407) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8412) all_52_3 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (8393) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8413) all_52_12 = e0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8412) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8414) ~ (all_52_1 = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8412) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8415) ~ (all_52_7 = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | SIMP: (8415) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8416) ~ (all_52_7 = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8412) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8417) ~ (all_52_11 = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8413) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8418) ~ (all_52_13 = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8413) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | (8419) ~ (all_52_14 = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8420) ~ (all_36_2 = e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8379), (8420) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8421) $false
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8421) is inconsistent.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | (8422) ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8423) all_54_8 = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8423) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8424) all_52_2 = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8424) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8425) all_52_2 = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8425) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8426) ~ (all_52_6 = e3)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8426) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8427) ~ (all_52_6 = e3)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8425) imply:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8428) ~ (all_52_14 = e3)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8428) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | (8429) ~ (all_52_14 = e3)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | (8430) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8430) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (8431) all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8431) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (8432) op(e3, e0) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8393), (8432), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (8433) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8433) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (8434) all_56_10 = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | (8435) op(e2, e0) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | (8436) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8436) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8437) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) all_56_6 = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8439) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8440) all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8440) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8441) all_56_6 = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8438), (8441) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1620.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8442) all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8442) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8443) op(e1, e2) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8427), (8443), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8444) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8444) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8445) all_56_8 = e3 & op(e1, e1) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8445) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446) op(e1, e1) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (8446), (function-axioms) are
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447) all_56_11 = e3 & op(e1, e0) = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8447) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448) all_56_11 = e3
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (8150), (8392), (8434),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448), (function-axioms) are inconsistent by
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #591.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (8449) all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8449) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (8450) all_56_7 = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (8451) op(e1, e2) = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8452) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5640), (8382), (8452),
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | #590.
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8453) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8454) all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8454) implies:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8455) all_56_5 = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456) op(e2, e1) = e2
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8457) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8457) gives:
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8458) all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8458) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8459) all_56_2 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8460) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (5643), (8382), (8460),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8461) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8462) all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8462) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8463) all_56_7 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8450), (8463) imply:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8464) e2 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8464) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465) e2 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8455), (8465) imply:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466) all_56_5 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (373), (8282), (8459),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466), (function-axioms) are inconsistent by
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1547.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8467) all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8467) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8468) all_56_13 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8469) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8469) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470) all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8470) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8471) all_56_4 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) op(e3, e1) = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_36_1 & $i(all_36_0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8473) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) op(e2, e0) = all_36_1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (5649), (8148),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284), (8434), (8475), (function-axioms) are
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #589.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8476) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8477) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) all_56_6 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8479) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8480) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) op(e3, e1) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8472), (8481), (function-axioms) are
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8482) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_56_5 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (8397), (8434), (8459),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) are inconsistent by sub-proof #1087.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8484) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) all_56_8 = e3 & op(e1, e1) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8485) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) op(e1, e1) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (8486), (function-axioms) are
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) all_56_14 = e3 & op(e0, e1) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8487) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) all_56_14 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8489) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8490) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8491) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8492) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (8451), (8493), (function-axioms) are
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1513.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8494) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) op(e2, e2) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8495), (function-axioms) are
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150), (8407), (8459), (8478), (8496),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #604.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8497) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8498) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8499) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) op(e3, e3) = e0
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8500), (function-axioms) are
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8501) implies:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) op(e0, e0) = e3
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (207), (218),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (8145), (8282), (8406), (8471),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488), (8502), (function-axioms) are inconsistent
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1006.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8382), (8456), (8503),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #588.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8504) gives:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (160), (164), (8146), (8279), (8380),
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435), (8474), (8505), (function-axioms) are
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #587.
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (8150), (8282), (8407), (8451),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506), (function-axioms) are inconsistent by
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #603.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) all_56_12 = e3 & op(e0, e3) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8507) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) all_56_12 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8411) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8406), (8508) are inconsistent by sub-proof
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1700.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (8278), (8282), (8455), (8468), (8509),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1005.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8435), (8510), (function-axioms) are inconsistent
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1708.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) all_56_5 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (373), (8282), (8459),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512), (function-axioms) are inconsistent by
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1547.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (8146), (8282), (8513),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #914.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_56_3 = e1 & op(e2, e2) = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8514) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) op(e2, e2) = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8382), (8515), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (8148), (8456), (8516),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #586.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8517) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) op(e2, e0) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8422), (8435), (8518), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1707.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | (8519) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8149), (8282), (8519),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | #1528.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | (8520) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8150), (8429), (8520),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | #585.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | (8521) ~ (all_54_8 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | (8522) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (8521) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | (8523) ~ (all_52_2 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8522) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | (8524) all_54_8 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5641), (8524) are inconsistent by
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | (8525) ~ (all_54_8 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | (8526) all_54_8 = e1 | all_54_8 = e0
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | (8527) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8527) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | (8528) all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8528) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | (8529) op(e3, e3) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8529), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | (8530) all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8530) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | (8531) all_56_2 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8526) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) all_54_8 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8532) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) all_52_2 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8533) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) all_52_2 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8534) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) ~ (all_52_1 = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8534) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8536) ~ (all_52_6 = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8536) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8537) ~ (all_52_6 = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8534) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8538) ~ (all_52_14 = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8534) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (8539) ~ (e2 = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8540) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8540) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8541) all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8541) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542) all_56_6 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543) op(e1, e3) = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544) all_54_4 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8544) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8545) all_52_1 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8545) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8546) all_52_1 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8546) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8547) ~ (all_52_9 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8547) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8548) ~ (all_52_9 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8546) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8549) ~ (all_52_13 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8549) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8550) ~ (all_52_13 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551) all_54_7 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8550), (8551) are inconsistent by
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8552) ~ (all_54_7 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8553) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8554) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8554) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555) all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8555) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8556) op(e3, e0) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8393), (8556), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8557) all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8557) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8558) all_56_10 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (8148), (8284),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531), (8558), (function-axioms) are inconsistent
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #886.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8559) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8559) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8560) all_56_11 = e3 & op(e1, e0) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8560) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561) all_56_11 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8562) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8562) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8563) all_56_9 = e2 & op(e3, e0) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (8563), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8564) all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8564) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565) all_56_10 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8566) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8382), (8531), (8566),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #691.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8567) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8567) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8568) all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8568) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8569) all_56_5 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8570) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8570) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8571) all_56_1 = e1 & op(e3, e2) = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8571) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8572) all_56_1 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8553) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8573) all_54_7 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (8573) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8574) all_52_13 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8574) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8575) all_52_13 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8575) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8576) ~ (all_52_9 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8575) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8577) ~ (all_52_14 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8577) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8578) ~ (all_52_14 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8550), (8575) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8579) ~ (e3 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8580) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8580) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8581) all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8581) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8582) all_56_4 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8583) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8583) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584) all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8584) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8585) op(e3, e3) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (8406),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531), (8585), (function-axioms) are inconsistent
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1721.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8586) all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8586) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587) all_56_1 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8572), (8587) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8588) e3 = e1
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (373), (8282), (8531),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8569), (8588), (function-axioms) are inconsistent
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1430.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8589) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8589) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8590) all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8590) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591) all_56_4 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8582), (8591) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592) e3 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8592) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8593) e3 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8531), (8593) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594) all_56_2 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (8565), (8569),
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594), (function-axioms) are inconsistent by
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1398.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8595) all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8595) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8596) op(e3, e0) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8393), (8596), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8597) all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8597) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598) op(e2, e1) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8576), (8598), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8599) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600) all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8600) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601) op(e1, e1) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (8601), (function-axioms) are
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8602) all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8602) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8603) op(e0, e1) = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604) all_54_11 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8604) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8605) all_52_14 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8605) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8606) ~ (all_52_6 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8607) all_54_9 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8606), (8607) are inconsistent by
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8609) all_54_6 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8548), (8609) are inconsistent by
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8608) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611) all_54_9 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8611) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8612) all_52_6 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8612) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613) all_52_6 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8613) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8614) ~ (all_52_7 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8614) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8615) ~ (all_52_7 = e2)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8616) all_54_13 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8616) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) all_52_7 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8617) implies:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) all_52_7 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8618) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) ~ (all_52_4 = e3)
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (8618) imply:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) op(e0, e2) = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8621) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8622) gives:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (8619), (8623),
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1530.
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8624) gives:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8625) implies:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) op(e3, e3) = e1
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (36), (112), (117), (139),
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (160), (164), (165), (168), (238),
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (373), (8146), (8147), (8149), (8150),
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282), (8382), (8393), (8407), (8626),
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #896.
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8627) implies:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (8407), (8628), (function-axioms) are
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8629) gives:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (8282), (8543), (8630),
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (8382), (8537), (8631),
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1731.
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8632) gives:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8633) gives:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8634) gives:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 188.87/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8635) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) op(e0, e2) = e2
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_14_1 & $i(all_14_0) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8637) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) op(e0, e1) = all_14_1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (8153), (8531),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565), (8569), (8603), (8620), (8636), (8638),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #584.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8639) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) op(e0, e1) = all_14_1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (8153), (8531),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565), (8569), (8603), (8620), (8636), (8640),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #584.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8641) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) op(e2, e0) = e0
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8380), (8642), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (160), (261), (8277), (8279),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8576), (8610), (8643), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #583.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8644) gives:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (8150), (8382), (8407), (8645),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #898.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8282), (8646), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (8416), (8615), (8647) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1651.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) all_54_9 = e1 | all_54_9 = e0
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8275), (8537), (8648) are inconsistent by
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1802.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8149), (8279), (8578), (8649) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1335.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) all_54_7 = e1 | all_54_7 = e0
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8148), (8380), (8650) are inconsistent by
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1376.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) all_56_3 = e1 & op(e2, e2) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8651) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) op(e2, e2) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8382), (8652), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8653) gives:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) all_56_7 = e1 & op(e1, e2) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8654) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) all_56_7 = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (8282),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542), (8655), (function-axioms) are inconsistent
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1616.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) all_56_13 = e1 & op(e0, e2) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8656) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) op(e0, e2) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8145), (8657), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1649.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8658) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) op(e2, e0) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (8659), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8660) gives:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8661) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) all_56_11 = e2
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8561), (8662) are inconsistent by sub-proof
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1619.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8663) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) op(e0, e0) = e2
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8664), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) all_56_15 = e3 & op(e0, e0) = e3
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8665) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) op(e0, e0) = e3
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (8666), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8414), (8535), (8667) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) all_56_7 = e1 & op(e1, e2) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8668) implies:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) op(e1, e2) = e1
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8537), (8669), (function-axioms) are
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8149), (8282), (8670),
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1528.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) all_54_8 = e0
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8274), (8671) are inconsistent by
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1366.
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | (8672) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8672) gives:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.21 | | | | | | | | | | | | | | | | | | | | | | | | | (8673) all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8673) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8674) op(e1, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8523), (8674), (function-axioms) are
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8675) all_56_12 = e3 & op(e0, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8675) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8676) all_56_12 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8406), (8676) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8677) e3 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8677) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8678) $false
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8678) is inconsistent.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | (8679) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.16/29.22 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (218), (219),
% 189.16/29.22 | | | | | | | | | | | | | | | | (220), (8282), (8380), (8679), (function-axioms)
% 189.16/29.22 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #751.
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | (8680) all_24_2 = e1
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | COMBINE_EQS: (318), (8680) imply:
% 189.16/29.22 | | | | | | | | | | | | (8681) all_4_2 = e1
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | SIMP: (8681) implies:
% 189.16/29.22 | | | | | | | | | | | | (8682) all_4_2 = e1
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | REDUCE: (349), (8682) imply:
% 189.16/29.22 | | | | | | | | | | | | (8683) ~ (all_52_1 = e1)
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | REDUCE: (354), (8682) imply:
% 189.16/29.22 | | | | | | | | | | | | (8684) ~ (all_52_6 = e1)
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | REDUCE: (358), (8682) imply:
% 189.16/29.22 | | | | | | | | | | | | (8685) ~ (all_52_9 = e1)
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | REDUCE: (373), (8682) imply:
% 189.16/29.22 | | | | | | | | | | | | (8686) ~ (e3 = e1)
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | REDUCE: (36), (8682) imply:
% 189.16/29.22 | | | | | | | | | | | | (8687) op(e2, e2) = e1
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.16/29.22 | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | (8688) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.16/29.22 | | | | | | | | | | | | | & op(e2, e1) = e1)
% 189.16/29.22 | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | BETA: splitting (8688) gives:
% 189.16/29.22 | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | (8689) all_56_4 = e1 & op(e3, e1) = e1
% 189.16/29.22 | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | ALPHA: (8689) implies:
% 189.16/29.22 | | | | | | | | | | | | | | (8690) all_56_4 = e1
% 189.16/29.22 | | | | | | | | | | | | | | (8691) op(e3, e1) = e1
% 189.16/29.22 | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.16/29.22 | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | (8692) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.16/29.22 | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 189.16/29.22 | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | BETA: splitting (8692) gives:
% 189.16/29.22 | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | (8693) all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | ALPHA: (8693) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | (8694) all_56_6 = e1
% 189.16/29.22 | | | | | | | | | | | | | | | | (8695) op(e1, e3) = e1
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | (8696) all_54_12 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8696) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | (8697) all_52_3 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | SIMP: (8697) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | (8698) all_52_3 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | REDUCE: (148), (8698) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | (8699) ~ (all_52_1 = e3)
% 189.16/29.22 | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | (8700) all_54_4 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8699), (8700) are inconsistent by
% 189.16/29.22 | | | | | | | | | | | | | | | | | | sub-proof #1409.
% 189.16/29.22 | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | (8701) ~ (all_54_4 = e3)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | (8702) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | BETA: splitting (8702) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | (8703) all_54_4 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8703) are inconsistent by
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | sub-proof #1833.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | (8704) ~ (all_54_4 = e2)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | (8705) all_54_4 = e1 | all_54_4 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | (8706) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8706) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8707) all_56_0 = e3 & op(e3, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8707) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8708) op(e3, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8708), (function-axioms) are
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8709) all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8709) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8710) all_56_2 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | (8711) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8687), (8710), (8711),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | #1168.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | (8712) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8712) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8713) all_56_5 = e0 & op(e2, e1) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8713) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8714) all_56_5 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8282), (8714), (function-axioms) are inconsistent
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8715) all_56_10 = e0 & op(e2, e0) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8715) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8716) op(e2, e0) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8683), (8705), (8716),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | #671.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | (8717) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8717) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8718) all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8718) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8719) all_56_6 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8694), (8719) are inconsistent by sub-proof
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | #1620.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8720) all_56_12 = e3 & op(e0, e3) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8720) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | (8721) all_56_12 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | (8722) all_56_15 = e0 & op(e0, e0) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8722) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | (8723) op(e0, e0) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8723), (function-axioms) are
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | (8724) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8724) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | (8725) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8725) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8726) all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8726) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8727) all_56_12 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8721), (8727) are inconsistent by sub-proof
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | #1700.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | (8728) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8728) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | (8729) all_56_13 = e0 & op(e0, e2) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8729) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | (8730) all_56_13 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | (8731) op(e0, e2) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8732) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8732) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) all_56_0 = e0 & op(e3, e3) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8733) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) op(e3, e3) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8734), (function-axioms) are
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8735) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_56_2 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8705) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) all_54_4 = e1
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8683), (8737) are inconsistent by
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1832.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) all_54_4 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8738) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_52_1 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8739) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_52_1 = e0
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8740) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) ~ (all_52_13 = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8741) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) ~ (all_52_13 = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8683), (8740) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) ~ (e1 = e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8744) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) all_56_12 = e2 & op(e0, e3) = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8745) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) all_56_12 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8694), (8736),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746), (function-axioms) are inconsistent by
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8747) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) all_56_13 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8730), (8748) are inconsistent by sub-proof
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8749) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) all_56_14 = e2 & op(e0, e1) = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8750) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) all_56_14 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8752) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8753) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) op(e3, e1) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (8754), (function-axioms) are
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8755) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) all_56_5 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (8687), (8757),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #797.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8758) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8759) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) all_56_5 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8756), (8760) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8761) e3 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8721), (8761) imply:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762) all_56_12 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8694), (8736),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762), (function-axioms) are inconsistent by
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763) all_56_10 = e2 & op(e2, e0) = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8763) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8764) op(e2, e0) = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8765) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8766) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8767) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8768) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8768) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769) (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (8144), (8731), (8751),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769), (function-axioms) are inconsistent by
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #582.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8770) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8770) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8771) op(e2, e2) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8687), (8771), (function-axioms) are
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8772) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8772) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8773) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8774) op(e3, e3) = e1
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (8774), (function-axioms) are
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8775) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8775) implies:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8776) op(e1, e1) = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (8690), (8751), (8756),
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8776), (function-axioms) are inconsistent by
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1497.
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8777) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8777) gives:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8778) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (8282), (8695), (8778),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (162), (164), (165), (8684), (8764),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779), (function-axioms) are inconsistent by
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #997.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8780) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8781) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (8687), (8742), (8782),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #642.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (8146), (8279), (8783),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1883.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8784) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8785) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8786) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) op(e3, e3) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (229), (231), (233), (8282),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721), (8751), (8756), (8787), (function-axioms)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1508.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8788) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (8144), (8731), (8751),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789), (function-axioms) are inconsistent by
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #582.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8282), (8790), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8791) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8792) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) op(e1, e1) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (8793), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) all_56_14 = e3 & op(e0, e1) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8794) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) all_56_14 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8751), (8795) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) e3 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8796) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) e3 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8721), (8797) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) all_56_12 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8694), (8736),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798), (function-axioms) are inconsistent by
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8799) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) op(e0, e0) = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8800), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | (8801) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8801) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8802) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) all_56_6 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (8149), (8282), (8803), (function-axioms)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1527.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8804) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) all_56_12 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8721), (8805) are inconsistent by sub-proof
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | #1700.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8806) all_56_14 = e0 & op(e0, e1) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8806) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8807) op(e0, e1) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8278), (8807), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | (8808) ~ (all_54_12 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | (8809) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | REDUCE: (249), (8808) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | (8810) ~ (all_52_3 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | BETA: splitting (8809) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | (8811) all_54_12 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5642), (8811) are inconsistent by
% 189.16/29.23 | | | | | | | | | | | | | | | | | | sub-proof #1465.
% 189.16/29.23 | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | (8812) ~ (all_54_12 = e2)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | (8813) all_54_12 = e1 | all_54_12 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | BETA: splitting (8813) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8814) all_54_12 = e1
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8144), (8814) are inconsistent by
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | sub-proof #1464.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8815) all_54_12 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8815) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8816) all_52_3 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | SIMP: (8816) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8817) all_52_3 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8817) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8818) ~ (all_52_1 = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8817) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8819) ~ (all_52_7 = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | SIMP: (8819) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8820) ~ (all_52_7 = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8817) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8821) ~ (all_52_11 = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | REDUCE: (8144), (8817) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | (8822) ~ (e1 = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | (8823) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8823) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | (8824) all_56_1 = e0 & op(e3, e2) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8824) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | (8825) all_56_1 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | (8826) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8826) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8827) all_56_0 = e3 & op(e3, e3) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8827) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8828) op(e3, e3) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8828), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8829) all_56_1 = e3 & op(e3, e2) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8829) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8830) all_56_1 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8825), (8830) are inconsistent by sub-proof
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | (8831) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8831) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8832) all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8832) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8833) op(e3, e1) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (8833), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8834) all_56_9 = e3 & op(e3, e0) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8834) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | (8835) op(e3, e0) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8836) all_54_4 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8836) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8837) all_52_1 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8837) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8838) all_52_1 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8838) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8839) ~ (all_52_9 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8839) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8840) ~ (all_52_9 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8838) imply:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8841) ~ (all_52_13 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8841) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | (8842) ~ (all_52_13 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_54_6 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8840), (8843) are inconsistent by
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | (8844) ~ (all_54_6 = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | (8845) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8846) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8847) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) all_56_2 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (8687), (8840),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842), (8848), (function-axioms) are inconsistent
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #581.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) all_56_3 = e0 & op(e2, e2) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8849) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) op(e2, e2) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (8145), (8825), (8850),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | #874.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8851) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_56_5 = e0 & op(e2, e1) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8852) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_56_5 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282), (8853), (function-axioms) are inconsistent
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) all_56_10 = e0 & op(e2, e0) = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8854) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) all_56_10 = e0
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8856) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) all_56_9 = e2 & op(e3, e0) = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (8857), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) all_56_10 = e2 & op(e2, e0) = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8858) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) all_56_10 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8855), (8859) are inconsistent by sub-proof
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8860) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8861) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) all_56_11 = e2
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8863) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8864) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_56_2 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8866) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8867) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) all_56_6 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (5648),
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649), (8865), (8868), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1460.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_56_7 = e3 & op(e1, e2) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8869) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) all_56_7 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) op(e1, e2) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8872) gives:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8873) implies:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) op(e3, e1) = e3
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (8874), (function-axioms) are
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8875) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) all_56_5 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8877) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8878) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) all_56_2 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8865), (8879) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) e3 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8876), (8880) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) all_56_5 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282), (8881), (function-axioms) are inconsistent
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) all_56_3 = e0 & op(e2, e2) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8882) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) op(e2, e2) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8687), (8883), (function-axioms) are
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8851) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) all_56_5 = e0 & op(e2, e1) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8884) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) all_56_5 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282), (8885), (function-axioms) are inconsistent
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1551.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (8687), (8855), (8865),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876), (function-axioms) are inconsistent by
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1008.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8886) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8887) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) op(e1, e1) = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (8694),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870), (8888), (function-axioms) are inconsistent
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1772.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) all_56_14 = e3 & op(e0, e1) = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8889) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) all_56_14 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8891) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8892) all_56_1 = e2 & op(e3, e2) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8892) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8893) op(e3, e2) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5643), (8893), (function-axioms) are
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #825.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8894) all_56_3 = e2 & op(e2, e2) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8894) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8895) op(e2, e2) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (213),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (226), (8145), (8149),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282), (8694), (8825), (8862), (8895),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8896) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8896) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8897) all_56_7 = e2 & op(e1, e2) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8897) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8898) op(e1, e2) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8871), (8898), (function-axioms) are
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #823.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8899) all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8899) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900) all_56_13 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8901) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8901) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8902) all_56_4 = e2 & op(e3, e1) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8902) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8903) all_56_4 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (218), (8282), (8685),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890), (8903), (function-axioms) are inconsistent
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1752.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8904) all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8904) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905) op(e2, e1) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8845) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8906) all_54_6 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8906) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8907) all_52_9 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8907) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8908) ~ (all_52_11 = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8908) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8909) ~ (all_52_11 = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8907) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8910) ~ (all_52_13 = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8910) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8911) ~ (all_52_13 = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8912) all_54_14 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8912) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8913) all_52_11 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8913) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914) all_52_11 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8914) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) ~ (all_52_7 = e3)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) all_54_13 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8915), (8916) are inconsistent by
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1445.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8917) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) all_54_13 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8918) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) all_52_7 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8919) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) all_52_7 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8920) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) ~ (all_52_6 = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) all_54_9 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8922) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) all_52_6 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8923) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) all_52_6 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8924) imply:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) ~ (all_52_4 = e3)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8926) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) all_56_0 = e0 & op(e3, e3) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8927) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) op(e3, e3) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8928), (function-axioms) are
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8929) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) all_56_2 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (8687), (8840),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842), (8930), (function-axioms) are inconsistent
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #581.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8931) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8932) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) all_56_6 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282), (8870), (8933), (function-axioms) are
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1104.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8934) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) all_56_12 = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) op(e0, e3) = e0
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8937) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8938) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (8687), (8925), (8939),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (8150), (8936), (8940),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #580.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8941) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (8835), (8942),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (8684), (8871), (8943),
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8944) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8945) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8946) gives:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8947) implies:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8948) op(e2, e0) = e2
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8911), (8948), (function-axioms) are
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8949) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950) op(e0, e0) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (213), (214),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (8282), (8862), (8870), (8890),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900), (8935), (8950), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1490.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (8146), (8279), (8951),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1883.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8952) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8952) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8953) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8954) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8955) (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (8936), (8955), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8956) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957) op(e2, e2) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (213),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (226), (8145), (8149),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282), (8694), (8825), (8862), (8957),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8958) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8282), (8958), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8275), (8684), (8921), (8959) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #951.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8960) all_54_13 = e1 | all_54_13 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (8820), (8960) are inconsistent by
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1652.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8146), (8278), (8909), (8961) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962) ~ (all_54_6 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (8962) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8963) ~ (all_52_9 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8905), (8963), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8282), (8890), (8964),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #579.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8965) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8282), (8862), (8965),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1618.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8966) all_56_3 = e3 & op(e2, e2) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8966) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8967) op(e2, e2) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8687), (8967), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8840), (8842), (8968),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8969) all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8969) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8970) op(e0, e0) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8970), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8971) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8683), (8818), (8971) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | (8972) all_56_3 = e0 & op(e2, e2) = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8972) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | (8973) op(e2, e2) = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8687), (8973), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | (8974) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8974) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | (8975) all_56_7 = e0 & op(e1, e2) = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8975) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | (8976) all_56_7 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | (216), (8149), (8282), (8976), (function-axioms)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1521.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | (8977) all_56_13 = e0 & op(e0, e2) = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8977) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | (8978) all_56_13 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | (8979) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5643), (8687), (8979),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | #578.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | (8980) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8980) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | (8981) all_56_7 = e2 & op(e1, e2) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8981) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | (8982) all_56_7 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | (8983) op(e1, e2) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8984) all_54_4 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8984) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8985) all_52_1 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8985) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8986) all_52_1 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8986) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8987) ~ (all_52_9 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8987) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8988) ~ (all_52_9 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8986) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8989) ~ (all_52_13 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8989) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (8990) ~ (all_52_13 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | (8991) all_54_6 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8988), (8991) are inconsistent by
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | (8992) ~ (all_54_6 = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | (8993) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8993) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) all_54_6 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8994) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) all_52_9 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8995) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) all_52_9 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8996) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) ~ (all_52_13 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8997) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) ~ (all_52_13 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8988), (8996) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) ~ (e3 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9000) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9000) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9001) all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9001) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002) op(e3, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (9002), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9003) all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9003) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9004) op(e2, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8988), (9004), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9005) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9005) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9006) all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9006) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007) op(e1, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (9007), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008) all_56_14 = e3 & op(e0, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9008) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009) all_56_14 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9010) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (8998), (9010),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9011) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9011) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9012) all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9012) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9013) all_56_11 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9014) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9015) all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9015) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016) all_56_6 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (373), (8988), (8990),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016), (function-axioms) are inconsistent by
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1454.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9017) all_56_7 = e3 & op(e1, e2) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9017) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9018) op(e1, e2) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8983), (9018), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #823.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9019) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9020) all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9020) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021) op(e1, e1) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9022) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9022) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9023) all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9023) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024) all_56_6 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (160), (214), (8149), (8982),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021), (9024), (function-axioms) are inconsistent
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #577.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9025) all_56_7 = e0 & op(e1, e2) = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8982), (9025) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9026) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9013), (9021), (9026),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1773.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9027) all_56_11 = e3 & op(e1, e0) = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9027) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028) all_56_11 = e3
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9013), (9028) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9029) e3 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9029) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9030) e3 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9009), (9030) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031) all_56_14 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (146), (165), (200), (220), (269),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640), (8282), (8683), (8691), (8818), (9031),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #659.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9032) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) op(e0, e0) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9033), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) ~ (all_54_6 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (9034) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) ~ (all_52_9 = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9036) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_56_4 = e2 & op(e3, e1) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9037) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) all_56_4 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8690), (9038) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) e2 = e1
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9039) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) e2 = e1
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8982), (9040) imply:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) all_56_7 = e1
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (8282),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694), (9041), (function-axioms) are inconsistent
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1616.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9042) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) op(e2, e1) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9035), (9043), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9044) gives:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) all_56_8 = e2 & op(e1, e1) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9045) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) op(e1, e1) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (9046), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) all_56_14 = e2 & op(e0, e1) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9047) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) all_56_14 = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (146), (165), (200), (220), (269),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640), (8282), (8683), (8691), (8818), (9048),
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #659.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | (9049) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8683), (8818), (9049) are
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | (9050) all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8978), (9050) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | | #1001.
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | (9051) all_56_7 = e1 & op(e1, e2) = e1
% 189.16/29.25 | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | ALPHA: (9051) implies:
% 189.16/29.25 | | | | | | | | | | | | | | | | (9052) op(e1, e2) = e1
% 189.16/29.25 | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8684), (9052), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 189.16/29.25 | | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | (9053) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.16/29.25 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 189.16/29.25 | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8149), (8282), (9053),
% 189.16/29.25 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | | | #1528.
% 189.16/29.25 | | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | (9054) all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.25 | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | ALPHA: (9054) implies:
% 189.16/29.25 | | | | | | | | | | | | | | (9055) op(e2, e1) = e1
% 189.16/29.25 | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | | REF_CLOSE: (165), (8685), (9055), (function-axioms) are
% 189.16/29.25 | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 189.16/29.25 | | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | (9056) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.16/29.25 | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 189.16/29.25 | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | | REF_CLOSE: (4), (157), (8146), (8282), (9056),
% 189.16/29.25 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.25 | | | | | | | | | | | | | #914.
% 189.16/29.25 | | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | End of split
% 189.16/29.25 | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | Case 2:
% 189.16/29.25 | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | (9057) all_20_2 = e3
% 189.16/29.25 | | | | | | | | | |
% 189.16/29.25 | | | | | | | | | | COMBINE_EQS: (325), (9057) imply:
% 189.16/29.26 | | | | | | | | | | (9058) all_10_2 = e3
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | REDUCE: (350), (9058) imply:
% 189.16/29.26 | | | | | | | | | | (9059) ~ (all_52_2 = e3)
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | REDUCE: (363), (9058) imply:
% 189.16/29.26 | | | | | | | | | | (9060) ~ (all_52_8 = e3)
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | REDUCE: (364), (9058) imply:
% 189.16/29.26 | | | | | | | | | | (9061) ~ (all_52_9 = e3)
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | REDUCE: (366), (9058) imply:
% 189.16/29.26 | | | | | | | | | | (9062) ~ (all_52_11 = e3)
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | REDUCE: (368), (9058) imply:
% 189.16/29.26 | | | | | | | | | | (9063) ~ (all_52_14 = e3)
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | REDUCE: (45), (9058) imply:
% 189.16/29.26 | | | | | | | | | | (9064) op(e1, e1) = e3
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | BETA: splitting (67) gives:
% 189.16/29.26 | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | (9065) ~ (all_24_2 = e1)
% 189.16/29.26 | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | REDUCE: (318), (9065) imply:
% 189.16/29.26 | | | | | | | | | | | (9066) ~ (all_4_2 = e1)
% 189.16/29.26 | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | BETA: splitting (79) gives:
% 189.16/29.26 | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | (9067) ~ (all_32_2 = e0)
% 189.16/29.26 | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | REDUCE: (314), (9067) imply:
% 189.16/29.26 | | | | | | | | | | | | (9068) ~ (all_4_2 = e0)
% 189.16/29.26 | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.16/29.26 | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | (9069) all_54_5 = e3
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | COMBINE_EQS: (268), (9069) imply:
% 189.16/29.26 | | | | | | | | | | | | | (9070) all_4_2 = e3
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | REDUCE: (373), (9070) imply:
% 189.16/29.26 | | | | | | | | | | | | | (9071) $false
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | CLOSE: (9071) is inconsistent.
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | (9072) ~ (all_54_5 = e3)
% 189.16/29.26 | | | | | | | | | | | | | (9073) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | BETA: splitting (9073) gives:
% 189.16/29.26 | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | (9074) all_54_5 = e2
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | COMBINE_EQS: (268), (9074) imply:
% 189.16/29.26 | | | | | | | | | | | | | | (9075) all_4_2 = e2
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | REDUCE: (358), (9075) imply:
% 189.16/29.26 | | | | | | | | | | | | | | (9076) ~ (all_52_9 = e2)
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | REDUCE: (360), (9075) imply:
% 189.16/29.26 | | | | | | | | | | | | | | (9077) ~ (all_52_13 = e2)
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | REDUCE: (373), (9075) imply:
% 189.16/29.26 | | | | | | | | | | | | | | (9078) ~ (e3 = e2)
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | REDUCE: (36), (9075) imply:
% 189.16/29.26 | | | | | | | | | | | | | | (9079) op(e2, e2) = e2
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 189.16/29.26 | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | (9080) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 189.16/29.26 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 189.16/29.26 | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | BETA: splitting (9080) gives:
% 189.16/29.26 | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | (9081) all_56_12 = e2 & op(e0, e3) = e2
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | ALPHA: (9081) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | (9082) all_56_12 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (168),
% 189.16/29.26 | | | | | | | | | | | | | | | | (169), (206), (207), (209), (217), (218), (219),
% 189.16/29.26 | | | | | | | | | | | | | | | | (230), (232), (236), (5648), (5649), (8146),
% 189.16/29.26 | | | | | | | | | | | | | | | | (8147), (8150), (9060), (9064), (9076), (9082),
% 189.16/29.26 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | #570.
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | (9083) all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | ALPHA: (9083) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | (9084) all_56_13 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (160),
% 189.16/29.26 | | | | | | | | | | | | | | | | (213), (214), (215), (225), (226), (228), (373),
% 189.16/29.26 | | | | | | | | | | | | | | | | (8145), (8149), (9064), (9079), (9084),
% 189.16/29.26 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | #568.
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | (9085) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 189.16/29.26 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.16/29.26 | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | BETA: splitting (9085) gives:
% 189.16/29.26 | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | (9086) all_56_14 = e2 & op(e0, e1) = e2
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | ALPHA: (9086) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | (9087) all_56_14 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | (9088) op(e0, e1) = e2
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | (9089) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.16/29.26 | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (9077), (9089),
% 189.16/29.26 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | #736.
% 189.16/29.26 | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | (9090) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.16/29.26 | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | BETA: splitting (9090) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | (9091) all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | ALPHA: (9091) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | (9092) all_56_11 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | (9093) op(e1, e0) = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (9088) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | (9094) all_52_11 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (9093) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | (9095) all_52_14 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | (9096) ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_14_1 & $i(all_14_0) &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | ALPHA: (9096) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | (9097) op(e0, e1) = all_14_1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | (9098) op(all_14_1, e0) = all_14_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (8153) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9099) ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_16_1 & $i(all_16_0) &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (9099) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9100) ~ (all_16_0 = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9101) op(e0, e1) = all_16_1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9102) op(all_16_1, e0) = all_16_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_16_1,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (9088), (9101) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9103) all_16_1 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | all_16_1, e1, e0, simplifying with (9097), (9101)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9104) all_16_1 = all_14_1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9103), (9104) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9105) all_14_1 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (9102), (9103) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9106) op(e2, e0) = all_16_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9105) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9107) op(e2, e0) = all_14_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | all_14_0, e0, e2, simplifying with (164), (9107)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9108) all_52_13 = all_14_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | all_16_0, e0, e2, simplifying with (164), (9106)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9109) all_52_13 = all_16_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9108), (9109) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9110) all_16_0 = all_14_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | SIMP: (9110) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9111) all_16_0 = all_14_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9108) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9112) all_54_7 = all_14_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9108) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9113) ~ (all_52_1 = all_14_0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9108) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9114) ~ (all_52_9 = all_14_0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9108) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9115) ~ (all_52_12 = all_14_0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (9077), (9108) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9116) ~ (all_14_0 = e2)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (8148), (9108) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9117) ~ (all_14_0 = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9111) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9118) ~ (all_14_0 = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9119) all_54_7 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9112), (9119) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9120) all_14_0 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9118), (9120) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9121) $false
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9121) is inconsistent.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9122) ~ (all_54_7 = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9123) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | (9124) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9124) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9125) all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9125) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9126) all_56_2 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9127) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9079), (9126), (9127),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | #661.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9128) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9128) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9129) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | (9130) all_56_5 = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | (9131) op(e2, e1) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9123) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) all_54_7 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9112), (9116), (9132) are inconsistent by
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #605.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) ~ (all_54_7 = e2)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9135) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) all_56_9 = e3 & op(e3, e0) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9136) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) op(e3, e0) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) all_56_15 = e0 & op(e0, e0) = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9138) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) op(e0, e0) = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (9139), (function-axioms) are
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9140) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9126), (9142),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #744.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9143) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9144) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) all_56_6 = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) op(e1, e3) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9134) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_54_7 = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9112), (9117), (9147) are inconsistent by
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #616.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) all_54_7 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9112), (9148) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) all_14_0 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9149) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_14_0 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9113), (9150) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) ~ (all_52_1 = e0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9114), (9150) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) ~ (all_52_9 = e0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9115), (9150) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) ~ (all_52_12 = e0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9118), (9150) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) ~ (e3 = e0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9116), (9150) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) ~ (e2 = e0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9117), (9150) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) ~ (e1 = e0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (118), (120), (123),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (136), (139), (146), (148), (157),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (192), (198), (200), (201),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (207), (213), (215), (216), (218),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (226), (227), (228), (229), (230),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (249), (261), (268), (269), (270),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (349), (373), (5640), (5642),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643), (5644), (5645), (5648), (5649), (8144),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145), (8146), (8147), (8149), (8150), (9061),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064), (9066), (9068), (9073), (9076), (9077),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079), (9087), (9092), (9126), (9130), (9137),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141), (9145), (9146), (9151), (9152), (9153),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #559.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) all_56_12 = e1 & op(e0, e3) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9157) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) op(e0, e3) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9158), (function-axioms) are
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9159) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) all_56_10 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (9126), (9130), (9131), (9160),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8150), (9063), (9161),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | #585.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9162) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | (9163) op(e2, e0) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9163), (function-axioms) are
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9164) all_56_3 = e3 & op(e2, e2) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9164) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9165) op(e2, e2) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9165), (function-axioms) are
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | (9166) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9166) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9167) all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9167) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9168) all_56_5 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (219), (8146), (9064), (9168), (function-axioms)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1092.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9169) all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9169) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9170) all_56_10 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9123) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9171) all_54_7 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9112), (9171) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9172) all_14_0 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9116), (9172) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9173) $false
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9173) is inconsistent.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9174) all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (168), (206), (8150), (9092),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9112), (9115), (9117), (9170), (9174),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | #601.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9175) ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (9175) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9176) ~ (all_16_1 = e2)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9177) op(e0, e1) = all_16_1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9088), (9097), (9176), (9177), (function-axioms)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #613.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | (9178) ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | ALPHA: (9178) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | (9179) ~ (all_14_1 = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | (9180) op(e0, e1) = all_14_1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (8153) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9181) ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_16_1 & $i(all_16_0) &
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (9181) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9182) ~ (all_16_0 = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9183) op(e0, e1) = all_16_1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9184) op(all_16_1, e0) = all_16_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_16_1,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (9088), (9183) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9185) all_16_1 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | all_16_1, e1, e0, simplifying with (9180), (9183)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9186) all_16_1 = all_14_1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9185), (9186) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9187) all_14_1 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (9184), (9185) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9188) op(e2, e0) = all_16_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | all_16_0, e0, e2, simplifying with (164), (9188)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9189) all_52_13 = all_16_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9189) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9190) all_54_7 = all_16_0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9189) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9191) ~ (all_52_1 = all_16_0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9189) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9192) ~ (all_52_9 = all_16_0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9189) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9193) ~ (all_52_12 = all_16_0)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (9077), (9189) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9194) ~ (all_16_0 = e2)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (8148), (9189) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | (9195) ~ (all_16_0 = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9196) all_54_7 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9190), (9196) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9197) all_16_0 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9182), (9197) imply:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9198) $false
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9198) is inconsistent.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9199) ~ (all_54_7 = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | (9200) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | (9201) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9201) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9202) all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9202) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | (9203) all_56_2 = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9204) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9079), (9203), (9204),
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | #661.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | (9205) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9205) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | (9206) all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9206) implies:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | (9207) all_56_5 = e1
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9200) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) all_54_7 = e2
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9190), (9194), (9208) are inconsistent by
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #598.
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) ~ (all_54_7 = e2)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9211) gives:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_56_9 = e3 & op(e3, e0) = e3
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9212) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) op(e3, e0) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) all_56_15 = e0 & op(e0, e0) = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9214) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) op(e0, e0) = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (9215), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9216) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9203), (9218),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #744.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9219) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9220) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) all_56_6 = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) op(e1, e3) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9210) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) all_54_7 = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9190), (9195), (9223) are inconsistent by
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #597.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) all_54_7 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9190), (9224) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) all_16_0 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9225) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) all_16_0 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9191), (9226) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) ~ (all_52_1 = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9192), (9226) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) ~ (all_52_9 = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9226) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) ~ (all_52_12 = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9182), (9226) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) ~ (e3 = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9194), (9226) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) ~ (e2 = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9195), (9226) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) ~ (e1 = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (118), (120), (123),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (136), (139), (146), (148), (157),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (192), (198), (200), (201),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (207), (213), (215), (216), (218),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (226), (227), (228), (229), (230),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (249), (261), (268), (269), (270),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (272), (349), (373), (5640), (5642),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643), (5644), (5645), (5648), (5649), (8144),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145), (8146), (8147), (8149), (8150), (9061),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064), (9066), (9068), (9073), (9076), (9077),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079), (9087), (9092), (9203), (9207), (9213),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9221), (9222), (9227), (9228), (9229),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #559.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) all_56_12 = e1 & op(e0, e3) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9233) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) op(e0, e3) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9234), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235) all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9235) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9236) all_56_10 = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (8148), (9066),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203), (9236), (function-axioms) are inconsistent
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #886.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9237) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8150), (9063), (9237),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | #585.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | (9238) all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9238) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | (9239) op(e2, e0) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9239), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9240) all_56_3 = e3 & op(e2, e2) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9240) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9241) op(e2, e2) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9241), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | (9242) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9242) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9243) all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9243) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9244) all_56_5 = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (219), (8146), (9064), (9244), (function-axioms)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1092.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9245) all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9245) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9246) all_56_10 = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9200) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9247) all_54_7 = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9190), (9247) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9248) all_16_0 = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9194), (9248) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9249) $false
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9249) is inconsistent.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9250) all_54_7 = e1 | all_54_7 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (168), (206), (8150), (9092),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9190), (9193), (9195), (9246), (9250),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | #596.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | (9251) ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (9251) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | (9252) ~ (all_16_1 = e2)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | (9253) op(e0, e1) = all_16_1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9088), (9180), (9252), (9253), (function-axioms)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #613.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | (9254) all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | ALPHA: (9254) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | (9255) op(e0, e0) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | (206), (207), (209), (8144), (9087), (9255),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | #1228.
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | (9256) all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | ALPHA: (9256) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | (9257) op(e0, e0) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9257), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | (9258) all_54_5 = e1 | all_54_5 = e0
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | REF_CLOSE: (268), (9066), (9068), (9258) are inconsistent by
% 189.16/29.27 | | | | | | | | | | | | | | sub-proof #1941.
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | (9259) all_32_2 = e0
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | COMBINE_EQS: (314), (9259) imply:
% 189.16/29.27 | | | | | | | | | | | | (9260) all_4_2 = e0
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | COMBINE_EQS: (309), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9261) all_36_2 = e0
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (349), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9262) ~ (all_52_1 = e0)
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (352), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9263) ~ (all_52_4 = e0)
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (356), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9264) ~ (all_52_7 = e0)
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (358), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9265) ~ (all_52_9 = e0)
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (360), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9266) ~ (all_52_13 = e0)
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (373), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9267) ~ (e3 = e0)
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (9066), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9268) ~ (e1 = e0)
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | REDUCE: (36), (9260) imply:
% 189.16/29.27 | | | | | | | | | | | | (9269) op(e2, e2) = e0
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | BETA: splitting (85) gives:
% 189.16/29.27 | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | (9270) ~ (all_36_2 = e0)
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | REDUCE: (9261), (9270) imply:
% 189.16/29.27 | | | | | | | | | | | | | (9271) $false
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | CLOSE: (9271) is inconsistent.
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | (9272) ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 189.16/29.27 | | | | | | | | | | | | | & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.16/29.27 | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 189.16/29.27 | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | BETA: splitting (192) gives:
% 189.16/29.27 | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | (9273) all_54_12 = e3
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | COMBINE_EQS: (249), (9273) imply:
% 189.16/29.27 | | | | | | | | | | | | | | (9274) all_52_3 = e3
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | SIMP: (9274) implies:
% 189.16/29.27 | | | | | | | | | | | | | | (9275) all_52_3 = e3
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | REDUCE: (148), (9275) imply:
% 189.16/29.27 | | | | | | | | | | | | | | (9276) ~ (all_52_1 = e3)
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | REDUCE: (140), (9275) imply:
% 189.16/29.27 | | | | | | | | | | | | | | (9277) ~ (all_52_7 = e3)
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | SIMP: (9277) implies:
% 189.16/29.27 | | | | | | | | | | | | | | (9278) ~ (all_52_7 = e3)
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | REDUCE: (139), (9275) imply:
% 189.16/29.27 | | | | | | | | | | | | | | (9279) ~ (all_52_11 = e3)
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.27 | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | (9280) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.27 | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.16/29.27 | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | BETA: splitting (9280) gives:
% 189.16/29.27 | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | (9281) all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | ALPHA: (9281) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | (9282) all_56_2 = e3
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | (9283) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 189.16/29.27 | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9282), (9283),
% 189.16/29.27 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | #744.
% 189.16/29.27 | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | (9284) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 189.16/29.27 | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | BETA: splitting (9284) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | (9285) all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | ALPHA: (9285) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | (9286) all_56_6 = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | (9287) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (9287) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | (9288) all_56_12 = e3 & op(e0, e3) = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (9288) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | (9289) all_56_12 = e3
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | (9290) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9269), (9282), (9290),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | #691.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | (9291) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9291) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | (9292) all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9292) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | (9293) all_56_5 = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | (9294) op(e2, e1) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9295) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5640), (9269), (9295),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | #590.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | (9296) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9296) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9297) all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9297) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9298) op(e2, e1) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9294), (9298), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9299) all_56_10 = e2 & op(e2, e0) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9299) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | (9300) op(e2, e0) = e2
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | (9301) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9301) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) all_56_0 = e0 & op(e3, e3) = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5648), (9302) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | #1461.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9303) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_56_2 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (85), (224), (373), (9261),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9293), (9300), (9304), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1705.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | (9305) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9305) gives:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9286), (9306) are inconsistent by sub-proof
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | #1776.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9307) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) all_56_12 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9289), (9308) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) e3 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9282), (9309) imply:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) all_56_2 = e0
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (85), (224), (373), (9261),
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (9293), (9300), (9310), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1705.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | (9311) all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9311) implies:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | (9312) op(e2, e0) = e1
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9312), (function-axioms) are
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | (9313) all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (9313) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | (9314) op(e0, e2) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9278), (9314), (function-axioms) are
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #783.
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (9315) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (217), (218), (219), (230), (232), (236), (5648),
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (5649), (8146), (8147), (8150), (9060), (9064),
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (9315), (function-axioms) are inconsistent by
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | sub-proof #571.
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | (9316) all_56_12 = e1 & op(e0, e3) = e1
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | ALPHA: (9316) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | (9317) op(e0, e3) = e1
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9317), (function-axioms) are
% 189.44/29.27 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27 | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | End of split
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | (9318) all_56_3 = e3 & op(e2, e2) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | ALPHA: (9318) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | (9319) op(e2, e2) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9319), (function-axioms) are
% 189.44/29.27 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | End of split
% 189.44/29.27 | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | (9320) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.44/29.27 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.44/29.27 | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | BETA: splitting (9320) gives:
% 189.44/29.27 | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | (9321) all_56_5 = e3 & op(e2, e1) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | ALPHA: (9321) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | (9322) all_56_5 = e3
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.44/29.27 | | | | | | | | | | | | | | | | (219), (8146), (9064), (9322), (function-axioms)
% 189.44/29.27 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1092.
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | (9323) all_56_10 = e3 & op(e2, e0) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | ALPHA: (9323) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | (9324) all_56_10 = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | (9325) op(e2, e0) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.44/29.27 | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | (9326) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.44/29.27 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 189.44/29.27 | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | BETA: splitting (9326) gives:
% 189.44/29.27 | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | (9327) all_56_0 = e0 & op(e3, e3) = e0
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5648), (9327) are inconsistent by sub-proof
% 189.44/29.27 | | | | | | | | | | | | | | | | | | #1461.
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | (9328) all_56_2 = e0 & op(e2, e3) = e0
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | ALPHA: (9328) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | (9329) all_56_2 = e0
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.44/29.27 | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (9330) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (5649), (8148),
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (9066), (9324), (9330), (function-axioms) are
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #589.
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | (9331) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (9331) gives:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | (9332) all_56_6 = e3 & op(e1, e3) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (9332) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | (9333) op(e1, e3) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9333), (function-axioms) are
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | (9334) all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (9334) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | (9335) all_56_12 = e3
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | (9336) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9336) gives:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | (9337) all_56_9 = e2 & op(e3, e0) = e2
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (9337), (function-axioms) are
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | (9338) all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9338) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | (9339) all_56_10 = e2
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (9261), (9269), (9329),
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | (9339), (function-axioms) are inconsistent by
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1702.
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | (9340) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9340) gives:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | (9341) all_56_11 = e2 & op(e1, e0) = e2
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9341) implies:
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | | (9342) all_56_11 = e2
% 189.44/29.27 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (121), (125), (134),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (170), (190), (191), (202), (206),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (213), (215), (216), (226), (227),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (228), (231), (247), (248), (271), (373), (5644),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (5649), (8144), (8145), (8146), (9060), (9062),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9064), (9264), (9269), (9278), (9329), (9335),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9342), (function-axioms) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | sub-proof #555.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9343) all_56_15 = e2 & op(e0, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9343) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9344) op(e0, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9344), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | (9345) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 189.44/29.28 | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | BETA: splitting (9345) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | (9346) all_56_6 = e0 & op(e1, e3) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | ALPHA: (9346) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | (9347) all_56_6 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | (9348) all_54_4 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9276), (9348) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | sub-proof #1409.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | (9349) ~ (all_54_4 = e3)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | (9350) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (9350) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | (9351) all_54_4 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (9351) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | sub-proof #1833.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | (9352) ~ (all_54_4 = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | (9353) all_54_4 = e1 | all_54_4 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | (9354) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (5649), (8148),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | (9066), (9324), (9354), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #589.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | (9355) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9355) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9356) all_56_6 = e3 & op(e1, e3) = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9356) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9357) op(e1, e3) = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9357), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9358) all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9358) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | (9359) all_56_12 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | (9360) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9360) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | (9361) all_56_9 = e2 & op(e3, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (9361), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | (9362) all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9362) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | (9363) op(e2, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9272), (9325), (9363), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1707.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | (9364) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9364) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | (9365) all_56_11 = e2 & op(e1, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9365) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | (9366) all_56_11 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | (9367) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) all_56_6 = e1 & op(e1, e3) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9368) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) all_56_6 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (121), (125), (134), (158),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (191), (202), (206), (207), (208),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (215), (216), (226), (227), (228), (247),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (271), (373), (5644), (8145), (8146),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (9060), (9062), (9064), (9264), (9269), (9278),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (9359), (9366), (9369), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #556.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) all_56_7 = e1 & op(e1, e2) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9370) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) all_56_7 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) op(e1, e2) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) all_54_13 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9373) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) all_52_7 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9278), (9374) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) $false
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9375) is inconsistent.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) ~ (all_54_13 = e3)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9378) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) all_56_1 = e3 & op(e3, e2) = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9379) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) all_56_1 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) op(e3, e2) = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9382) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9383) all_56_0 = e1 & op(e3, e3) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9383) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9384) op(e3, e3) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9384), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385) all_56_2 = e1 & op(e2, e3) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9385) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386) all_56_2 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9377) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387) all_54_13 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9387) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388) all_52_7 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9388) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9389) ~ (all_52_11 = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9389) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9390) ~ (all_52_11 = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9278), (9388) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9391) ~ (e3 = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392) all_54_14 = e3
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9062), (9392) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1260.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9393) ~ (all_54_14 = e3)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9269), (9381), (9395),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1926.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9396) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) all_56_7 = e2 & op(e1, e2) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9397) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_56_7 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (160), (214), (8149), (9064),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347), (9398), (function-axioms) are inconsistent
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #577.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) all_56_13 = e2 & op(e0, e2) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9399) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) all_56_13 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9401) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) all_56_0 = e1 & op(e3, e3) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9402) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) op(e3, e3) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (9347), (9359), (9386),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403), (function-axioms) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #554.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) all_56_1 = e1 & op(e3, e2) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9380), (9404) are inconsistent by sub-proof
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1882.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9405) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) all_56_4 = e1 & op(e3, e1) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9406) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) all_56_4 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9408) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_56_0 = e0 & op(e3, e3) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9409) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) all_56_0 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5648), (9410) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) e2 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9400), (9411) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) all_56_13 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (8149), (9064),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269), (9371), (9412), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #851.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) all_56_1 = e0 & op(e3, e2) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (228), (373), (8149), (9064),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400), (9413), (function-axioms) are inconsistent
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #569.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9414) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) all_56_4 = e0 & op(e3, e1) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (121), (125), (134),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (170), (190), (191), (202), (206),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (213), (215), (216), (226), (227),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (231), (247), (248), (271), (373), (5644),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649), (8144), (8145), (8146), (9060), (9062),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064), (9264), (9269), (9278), (9359), (9366),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386), (9407), (9415), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #553.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) all_56_9 = e0 & op(e3, e0) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9416) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) op(e3, e0) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9418) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) all_56_4 = e0 & op(e3, e1) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (121), (125), (134),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (170), (190), (191), (202), (206),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (213), (215), (216), (226), (227),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (231), (247), (248), (271), (373), (5644),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649), (8144), (8145), (8146), (9060), (9062),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064), (9264), (9269), (9278), (9359), (9366),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386), (9407), (9419), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #553.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) all_56_5 = e0 & op(e2, e1) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9420) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) all_56_5 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9394) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_54_14 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9390), (9422) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) ~ (all_54_14 = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) all_54_14 = e1 | all_54_14 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9425) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) all_56_2 = e2 & op(e2, e3) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9426) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) all_56_2 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (222), (8148), (9269), (9421),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427), (function-axioms) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #872.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) all_56_3 = e2 & op(e2, e2) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9428) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) op(e2, e2) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (160),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (225), (226), (228), (373),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145), (8149), (9064), (9400), (9429),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #568.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9430) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) all_56_5 = e2 & op(e2, e1) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (117), (121), (123), (139), (141),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (159), (160), (163), (164),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (196), (198), (202), (233),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (247), (259), (261), (269), (271),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5640), (5641), (5644), (8146), (8149),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150), (8153), (9059), (9060), (9061), (9062),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064), (9262), (9266), (9269), (9276), (9347),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9353), (9359), (9372), (9386), (9390), (9417),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424), (9431), (function-axioms) are inconsistent
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #552.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9432) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) op(e2, e0) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9272), (9325), (9433), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1707.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9434) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) all_56_8 = e0 & op(e1, e1) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9435) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) op(e1, e1) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (9347), (9366), (9371),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436), (function-axioms) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1580.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) all_56_14 = e0 & op(e0, e1) = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9437) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) all_56_14 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9394) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) all_54_14 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9390), (9439) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) ~ (all_54_14 = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441) all_54_14 = e1 | all_54_14 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9442) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) all_56_4 = e2 & op(e3, e1) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (230),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (5648), (5649), (8147), (9060),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443), (function-axioms) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #575.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) all_56_5 = e2 & op(e2, e1) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (117), (121), (123), (139), (141),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (149), (157), (159), (160), (163), (164),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (196), (198), (202), (233),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (247), (259), (261), (269), (271),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (5640), (5641), (5644), (8146), (8149),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150), (8153), (9059), (9060), (9061), (9062),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064), (9262), (9266), (9269), (9276), (9347),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9353), (9359), (9372), (9386), (9390), (9417),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441), (9444), (function-axioms) are inconsistent
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #552.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9445) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) all_56_8 = e2 & op(e1, e1) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9446) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) op(e1, e1) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9447), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) all_56_14 = e2 & op(e0, e1) = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9448) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) all_56_14 = e2
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9438), (9449) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) e2 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9450) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) e2 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9400), (9451) imply:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) all_56_13 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (227), (228), (373), (8149), (9064),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269), (9371), (9452), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #851.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) all_56_9 = e1 & op(e3, e0) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9453) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) op(e3, e0) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8147), (9454), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) all_54_13 = e1 | all_54_13 = e0
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (9264), (9455) are inconsistent by
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1652.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9456) gives:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) all_56_6 = e1 & op(e1, e3) = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9457) implies:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) all_56_6 = e1
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (121), (125), (134), (158),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (190), (202), (206), (207), (208), (213),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (226), (227), (228), (247), (248),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (373), (5644), (8145), (8146), (9060),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062), (9064), (9264), (9269), (9278), (9359),
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9366), (9377), (9458), (function-axioms) are
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #557.
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) all_56_12 = e1 & op(e0, e3) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9459) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) op(e0, e3) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9460), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) all_56_3 = e3 & op(e2, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9461) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) op(e2, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9462), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9463) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) all_56_7 = e3 & op(e1, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9464) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) all_56_7 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (8149), (9064), (9465), (function-axioms)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1769.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9466) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) all_56_13 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (8145), (9359), (9467), (function-axioms)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #558.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9468) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8149), (9064), (9468),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | #1770.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9469) all_56_15 = e2 & op(e0, e0) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9469) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9470) op(e0, e0) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9470), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | (9471) all_56_12 = e0 & op(e0, e3) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | ALPHA: (9471) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | (9472) all_56_12 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9473) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (222), (223), (224), (373), (5649), (8148),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9066), (9324), (9473), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #589.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9474) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (9474) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (9475) all_56_6 = e3 & op(e1, e3) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | ALPHA: (9475) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (9476) op(e1, e3) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9476), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (9477) all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | ALPHA: (9477) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (9478) all_56_12 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9472), (9478) are inconsistent by sub-proof
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | #1700.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | (9479) ~ (all_54_12 = e3)
% 189.44/29.29 | | | | | | | | | | | | | | (9480) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 189.44/29.29 | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | REDUCE: (249), (9479) imply:
% 189.44/29.29 | | | | | | | | | | | | | | (9481) ~ (all_52_3 = e3)
% 189.44/29.29 | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | BETA: splitting (9480) gives:
% 189.44/29.29 | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | (9482) all_54_12 = e2
% 189.44/29.29 | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | REF_CLOSE: (249), (5642), (9482) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | sub-proof #1465.
% 189.44/29.29 | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | (9483) ~ (all_54_12 = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | (9484) all_54_12 = e1 | all_54_12 = e0
% 189.44/29.29 | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | BETA: splitting (9484) gives:
% 189.44/29.29 | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | (9485) all_54_12 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8144), (9485) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | | sub-proof #1464.
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | (9486) all_54_12 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (9486) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9487) all_52_3 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | SIMP: (9487) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9488) all_52_3 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | REDUCE: (144), (9488) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9489) ~ (all_52_2 = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | REDUCE: (140), (9488) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9490) ~ (all_52_7 = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | REDUCE: (139), (9488) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9491) ~ (all_52_11 = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | SIMP: (9491) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9492) ~ (all_52_11 = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | REDUCE: (5642), (9488) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9493) ~ (e2 = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | REDUCE: (159), (9488) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | (9494) op(e0, e3) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | (9495) all_54_14 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9062), (9495) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | | | sub-proof #1260.
% 189.44/29.29 | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | (9496) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | (9497) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | BETA: splitting (9497) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9498) all_56_6 = e0 & op(e1, e3) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9489), (9498), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1768.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9499) all_56_7 = e0 & op(e1, e2) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | ALPHA: (9499) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9500) all_56_7 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (9501) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9501) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | (9502) all_56_1 = e1 & op(e3, e2) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9502) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | (9503) all_56_1 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | (9504) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9504) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | (9505) all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9505) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | (9506) all_56_12 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9496) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_54_14 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (9507) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9508) all_52_11 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9508) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9509) ~ (all_52_7 = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9508) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9510) ~ (all_52_9 = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_54_13 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9511) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9512) all_52_7 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9512) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9513) ~ (all_52_4 = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (168), (169),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (236), (5648), (5649), (8147),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (9060), (9510), (9514), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #574.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9515) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) all_56_8 = e2 & op(e1, e1) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9516) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) op(e1, e1) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9517), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_56_14 = e2 & op(e0, e1) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9518) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) all_56_14 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (9513), (9520),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1790.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9521) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_56_7 = e3 & op(e1, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9522) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) all_56_7 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (8149), (9064), (9523), (function-axioms)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1769.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9524) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_56_13 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (8150), (9506), (9519),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525), (function-axioms) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #889.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (9264), (9509), (9526) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1651.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9527) all_54_14 = e1 | all_54_14 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8146), (9492), (9527) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1737.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | (9528) all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9528) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | (9529) all_56_13 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9269), (9500), (9503),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | (9529), (function-axioms) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | (9530) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (230), (232), (236), (5648),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | (5649), (8146), (8147), (8150), (9060), (9064),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | (9530), (function-axioms) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | sub-proof #571.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | (9531) all_56_3 = e1 & op(e2, e2) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9531) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | (9532) op(e2, e2) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9269), (9532), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (9533) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (227), (228),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (373), (9269), (9500), (9533), (function-axioms)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1283.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | (9534) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | BETA: splitting (9534) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9535) all_56_8 = e0 & op(e1, e1) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | ALPHA: (9535) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9536) op(e1, e1) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9536), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9537) all_56_11 = e0 & op(e1, e0) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | ALPHA: (9537) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | (9538) all_56_11 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | (9539) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9539) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | (9540) all_56_9 = e2 & op(e3, e0) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (9540), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | (9541) all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9541) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | (9542) op(e2, e0) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | (9543) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9543) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | (9544) all_56_2 = e3 & op(e2, e3) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9544) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | (9545) all_56_2 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9496) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_54_14 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (9546) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9547) all_52_11 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9547) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9548) ~ (all_52_7 = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9547) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | (9549) ~ (all_52_9 = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_54_13 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9550) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9551) all_52_7 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9551) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | (9552) ~ (all_52_4 = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (168), (169),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (236), (5648), (5649), (8147),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (9060), (9549), (9553), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #574.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9554) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) all_56_8 = e2 & op(e1, e1) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9555) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) op(e1, e1) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9556), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) all_56_14 = e2 & op(e0, e1) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9557) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) all_56_14 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) all_54_6 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9061), (9559) are inconsistent by
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (9552), (9561),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1790.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9562) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) all_56_7 = e3 & op(e1, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9563) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) all_56_7 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (8149), (9064), (9564), (function-axioms)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1769.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9565) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_56_13 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) all_54_1 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9567) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_52_4 = e3
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9552), (9568) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) $false
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9569) is inconsistent.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) ~ (all_54_1 = e3)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9571) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) all_54_1 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9572) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) all_52_4 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5643), (9573) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) $false
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9574) is inconsistent.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) ~ (all_54_1 = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) all_54_1 = e1 | all_54_1 = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_56_15 = e0 & op(e0, e0) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9577) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) op(e0, e0) = e0
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (9578), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9579) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9581) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) all_56_6 = e2 & op(e1, e3) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (9582), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_56_7 = e2 & op(e1, e2) = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9583) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) all_56_7 = e2
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9545), (9585),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #744.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9586) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) all_56_6 = e1 & op(e1, e3) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9587) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) op(e1, e3) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9269), (9545), (9589),
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #691.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9590) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) all_56_5 = e1 & op(e2, e1) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9591) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) all_56_5 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9576) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) all_54_1 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9593) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) all_52_4 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9594) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) all_52_4 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9595) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) ~ (all_52_6 = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9596) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) ~ (all_52_6 = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9595) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) ~ (all_52_8 = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9598) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) ~ (all_52_8 = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9595) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) ~ (all_52_12 = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9552), (9595) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) ~ (e3 = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5643), (9595) imply:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) ~ (e2 = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9603) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) all_56_0 = e1 & op(e3, e3) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9604) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) op(e3, e3) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9605), (function-axioms) are
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) all_56_1 = e1 & op(e3, e2) = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9606) implies:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) all_56_1 = e1
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9608) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9609) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (9552), (9610),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1530.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (8150), (9494), (9611),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #580.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9612) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9613) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9614) implies:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) all_57_10 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) op(e3, e3) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9618) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) all_56_4 = e0 & op(e3, e1) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9619) implies:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) all_56_4 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (159), (162), (167), (170), (192),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (373), (5640), (5642), (8144), (9269),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481), (9552), (9588), (9597), (9621),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #551.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9622) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9623) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (9060), (9616), (9624),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #565.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9625) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9626) implies:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) op(e2, e1) = e2
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9549), (9627), (function-axioms) are
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9628) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9629) implies:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) ~ (all_57_10 = e0)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9615), (9630) imply:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) $false
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9631) is inconsistent.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9632) implies:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) op(e1, e1) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620), (9633), (function-axioms) are inconsistent
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1817.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9634) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9269), (9617), (9635),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #550.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9636) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9637) implies:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) op(e1, e1) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620), (9638), (function-axioms) are inconsistent
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1817.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9639) gives:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9640) implies:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) op(e1, e0) = e1
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9617), (9641), (function-axioms) are
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.44/29.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9642) implies:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9643) gives:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9644) gives:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9645) implies:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) op(e2, e2) = e3
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9646), (function-axioms) are
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9647) gives:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9648) implies:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) ~ (all_57_1 = e1)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) op(e1, e3) = all_57_1
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9588), (9649), (9650), (function-axioms) are
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9651) implies:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) all_57_10 = e2
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9615), (9652) imply:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) e2 = e0
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9653) implies:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) e2 = e0
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9584), (9654) imply:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) all_56_7 = e0
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9269), (9566), (9607),
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655), (function-axioms) are inconsistent by
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9656) gives:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9657) implies:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) op(e1, e1) = e2
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9658), (function-axioms) are
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9269), (9616), (9659), (function-axioms) are
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #549.
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) all_56_5 = e0 & op(e2, e1) = e0
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9660) implies:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_56_5 = e0
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (157), (169), (218), (8146), (9064),
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599), (9661), (function-axioms) are inconsistent
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1234.
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (9064), (9492), (9662),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1238.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9663) implies:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) op(e3, e0) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (5649), (9060),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607), (9664), (function-axioms) are inconsistent
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #688.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (9269), (9597), (9665),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1731.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9666) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9667) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9668) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9669) implies:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) all_57_11 = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) all_57_5 = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9673) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) all_56_4 = e0 & op(e3, e1) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9674) implies:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) all_56_4 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (159), (162), (167), (170), (192),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (373), (5640), (5642), (8144), (9269),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481), (9552), (9588), (9597), (9676),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #551.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9677) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9678) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (5649), (9060), (9679),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #561.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9680) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9681) implies:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) op(e2, e1) = e2
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9549), (9682), (function-axioms) are
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9683) gives:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9684) implies:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) ~ (all_57_11 = e2)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9670), (9685) imply:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) $false
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9686) is inconsistent.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9687) implies:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) op(e1, e1) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675), (9688), (function-axioms) are inconsistent
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1817.
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9689) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9269), (9672), (9690),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #550.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9691) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9692) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) op(e1, e1) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675), (9693), (function-axioms) are inconsistent
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1817.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9694) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9695) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) op(e1, e0) = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9672), (9696), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1271.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9697) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9699) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9700) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) op(e2, e2) = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9701), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9702) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9703) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) ~ (all_57_1 = e1)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) op(e1, e3) = all_57_1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9588), (9704), (9705), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9706) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) all_57_5 = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9671), (9707) imply:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) e2 = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9584), (9708) imply:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) all_56_7 = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9269), (9566), (9607),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709), (function-axioms) are inconsistent by
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1284.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9710) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9711) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) op(e1, e1) = e2
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9712), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (9269), (9713),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #548.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) all_56_5 = e0 & op(e2, e1) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9714) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) all_56_5 = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (157), (169), (218), (8146), (9064),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599), (9715), (function-axioms) are inconsistent
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1234.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (9064), (9492), (9716),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1238.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4)))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9717) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) op(e2, e0) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9266), (9718), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9719) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9720) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) op(e0, e1) = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (9265), (9549), (9560),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721), (function-axioms) are inconsistent by
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #648.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9722) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) op(e0, e1) = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9492), (9723), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9724) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (8150), (9269), (9494), (9725),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #898.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8150), (9064), (9726),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #866.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (8147), (9599), (9727),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #608.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) all_54_1 = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (9263), (9728) are inconsistent by
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #696.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_56_10 = e1 & op(e2, e0) = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9729) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) op(e2, e0) = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9730), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1650.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) all_56_12 = e1 & op(e0, e3) = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9731) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) all_56_12 = e1
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9558), (9566), (9580), (9732) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1694.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9733) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_56_8 = e2 & op(e1, e1) = e2
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9734) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) op(e1, e1) = e2
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9735), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) all_56_11 = e2 & op(e1, e0) = e2
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9538), (9736) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1690.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | (9737) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (9264), (9548), (9737) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1651.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_54_14 = e1 | all_54_14 = e0
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8146), (9492), (9738) are inconsistent by
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1737.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (9739) all_56_3 = e3 & op(e2, e2) = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9739) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (9740) op(e2, e2) = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9740), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | (9741) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9741) gives:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (9742) all_56_5 = e3 & op(e2, e1) = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9742) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (9743) all_56_5 = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (219), (8146), (9064), (9743), (function-axioms)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1092.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (9744) all_56_10 = e3 & op(e2, e0) = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9744) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (9745) op(e2, e0) = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (85), (9261), (9542), (9745),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | | #1706.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | (9746) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8150), (9538), (9746),
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | | #955.
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | End of split
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | (9747) all_24_2 = e1
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | COMBINE_EQS: (318), (9747) imply:
% 189.48/29.32 | | | | | | | | | | | (9748) all_4_2 = e1
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | SIMP: (9748) implies:
% 189.48/29.32 | | | | | | | | | | | (9749) all_4_2 = e1
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | REDUCE: (352), (9749) imply:
% 189.48/29.32 | | | | | | | | | | | (9750) ~ (all_52_4 = e1)
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | REDUCE: (354), (9749) imply:
% 189.48/29.32 | | | | | | | | | | | (9751) ~ (all_52_6 = e1)
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | REDUCE: (373), (9749) imply:
% 189.48/29.32 | | | | | | | | | | | (9752) ~ (e3 = e1)
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | REDUCE: (36), (9749) imply:
% 189.48/29.32 | | | | | | | | | | | (9753) op(e2, e2) = e1
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | BETA: splitting (232) gives:
% 189.48/29.32 | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | (9754) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 189.48/29.32 | | | | | | | | | | | | & op(e3, e2) = e1)
% 189.48/29.32 | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | REF_CLOSE: (6), (170), (5649), (9750), (9754),
% 189.48/29.32 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.32 | | | | | | | | | | | | #800.
% 189.48/29.32 | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | (9755) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 189.48/29.32 | | | | | | | | | | | | & op(e3, e0) = e1)
% 189.48/29.32 | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | BETA: splitting (9755) gives:
% 189.48/29.32 | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | (9756) all_56_4 = e1 & op(e3, e1) = e1
% 189.48/29.32 | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | ALPHA: (9756) implies:
% 189.48/29.32 | | | | | | | | | | | | | (9757) all_56_4 = e1
% 189.48/29.32 | | | | | | | | | | | | | (9758) op(e3, e1) = e1
% 189.48/29.32 | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.48/29.32 | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | (9759) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.48/29.32 | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 189.48/29.32 | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | BETA: splitting (9759) gives:
% 189.48/29.32 | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | (9760) all_56_0 = e1 & op(e3, e3) = e1
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | ALPHA: (9760) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | (9761) op(e3, e3) = e1
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9761), (function-axioms) are
% 189.48/29.32 | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | Case 2:
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | (9762) all_56_2 = e1 & op(e2, e3) = e1
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | ALPHA: (9762) implies:
% 189.48/29.32 | | | | | | | | | | | | | | | (9763) all_56_2 = e1
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.48/29.32 | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32 | | | | | | | | | | | | | | | |
% 189.48/29.32 | | | | | | | | | | | | | | | | (9764) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.48/29.32 | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.48/29.32 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9753), (9763), (9764), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1021.
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | (9765) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | BETA: splitting (9765) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9766) all_56_5 = e3 & op(e2, e1) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | ALPHA: (9766) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9767) all_56_5 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (9064),
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9757), (9767), (function-axioms) are inconsistent
% 189.48/29.33 | | | | | | | | | | | | | | | | | by sub-proof #1093.
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9768) all_56_10 = e3 & op(e2, e0) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | ALPHA: (9768) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9769) all_56_10 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9770) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | BETA: splitting (9770) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9771) all_56_0 = e3 & op(e3, e3) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | ALPHA: (9771) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9772) op(e3, e3) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (9772), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9773) all_56_2 = e3 & op(e2, e3) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | ALPHA: (9773) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9774) all_56_2 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9775) op(e2, e3) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (9753),
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9769), (9774), (9775), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1165.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9776) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | BETA: splitting (9776) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9777) all_56_6 = e3 & op(e1, e3) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | ALPHA: (9777) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9778) op(e1, e3) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9778), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9779) all_56_12 = e3 & op(e0, e3) = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | ALPHA: (9779) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9780) all_56_12 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | (9781) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9781) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | (9782) all_56_6 = e1 & op(e1, e3) = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9782) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | (9783) all_56_6 = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (5648), (9763), (9780),
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | (9783) are inconsistent by sub-proof #689.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | (9784) all_56_7 = e1 & op(e1, e2) = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9784) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | (9785) op(e1, e2) = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9751), (9785), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | (9786) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8149), (9064), (9786),
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | | #1770.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | (9787) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.48/29.33 | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 189.48/29.33 | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | BETA: splitting (9787) gives:
% 189.48/29.33 | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | (9788) all_56_6 = e1 & op(e1, e3) = e1
% 189.48/29.33 | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | ALPHA: (9788) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | (9789) op(e1, e3) = e1
% 189.48/29.33 | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.48/29.33 | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | (9790) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.48/29.33 | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.48/29.33 | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.48/29.33 | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.48/29.33 | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.48/29.33 | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.48/29.33 | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | BETA: splitting (9790) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9791) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | BETA: splitting (9791) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9792) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (9789), (9792), (function-axioms)
% 189.48/29.33 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #755.
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9793) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (9753), (9793), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #938.
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9794) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.48/29.33 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.48/29.33 | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_10))
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | BETA: splitting (9794) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9795) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8150), (9064), (9795),
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.33 | | | | | | | | | | | | | | | | | | #882.
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9796) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (9751), (9758), (9796),
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.33 | | | | | | | | | | | | | | | | | | #1140.
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | (9797) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.33 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.33 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.48/29.33 | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.48/29.33 | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.48/29.33 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.48/29.33 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.33 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.48/29.33 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.33 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | BETA: splitting (9797) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9798) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.33 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.33 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | BETA: splitting (9798) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9799) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9758), (9799),
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.33 | | | | | | | | | | | | | | | | | | #547.
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9800) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9064), (9753), (9800),
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.48/29.33 | | | | | | | | | | | | | | | | | | #840.
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (9801) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.48/29.33 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.33 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.48/29.33 | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.48/29.33 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.48/29.33 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.48/29.33 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.48/29.33 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.33 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.48/29.33 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.33 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | BETA: splitting (9801) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9802) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.48/29.33 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | BETA: splitting (9802) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9803) all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | ALPHA: (9803) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9804) op(e3, e3) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (9804), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9805) all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | ALPHA: (9805) implies:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | (9806) op(e1, e0) = e1
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8149), (9806), (function-axioms) are
% 189.48/29.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (9807) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.33 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.48/29.33 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.33 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.48/29.33 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.33 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.33 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | BETA: splitting (9807) gives:
% 189.48/29.33 | | | | | | | | | | | | | | | | | |
% 189.48/29.33 | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33 | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | (9808) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | ALPHA: (9808) implies:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | (9809) op(e1, e1) = e0
% 189.51/29.33 | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9809), (function-axioms) are
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1824.
% 189.51/29.33 | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | (9810) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.51/29.33 | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (9810) gives:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9811) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | ALPHA: (9811) implies:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9812) op(e1, e0) = e1
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8149), (9812), (function-axioms) are
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1958.
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9813) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | ALPHA: (9813) implies:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9814) op(e0, e0) = all_57_15
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9815) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (8150), (9814)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | gives:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9816) all_57_15 = e1
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (9789) gives:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9817) all_52_2 = e1
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (9758) gives:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9818) all_52_8 = e1
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | REDUCE: (5644), (9818) imply:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | (9819) ~ (e2 = e1)
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9815) gives:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.33 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | (9820) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9820) gives:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | (9821) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9821) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | (9822) op(e2, e2) = e3
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9753), (9822), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | (9823) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9823) gives:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9824) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9824) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9825) ~ (all_57_1 = e1)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9826) op(e1, e3) = all_57_1
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9789), (9825), (9826), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9827) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9827) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9828) ~ (all_57_3 = e3)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9829) op(e0, e2) = e0
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9830) op(e3, e2) = all_57_3
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9829) gives:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9831) all_52_7 = e0
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | all_57_3, e2, e3, simplifying with (170), (9830)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9832) all_57_3 = all_52_4
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9828), (9832) imply:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9833) ~ (all_52_4 = e3)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9831) imply:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9834) ~ (all_52_4 = e0)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (203), (272), (5643), (9750), (9833), (9834) are
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #646.
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | (9835) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9835) gives:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | (9836) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9836) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | (9837) op(e1, e1) = e2
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9837), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | (9838) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9838) gives:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9839) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9839) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9840) op(e3, e3) = e1
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9840), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9841) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9841) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9842) ~ (all_57_15 = e1)
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9816), (9842) imply:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | (9843) $false
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9843) is inconsistent.
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | (9844) all_56_12 = e1 & op(e0, e3) = e1
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | ALPHA: (9844) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | (9845) op(e0, e3) = e1
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9845), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | (9846) all_56_9 = e1 & op(e3, e0) = e1
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | ALPHA: (9846) implies:
% 189.51/29.34 | | | | | | | | | | | | | (9847) op(e3, e0) = e1
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | REF_CLOSE: (168), (8147), (9847), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | |
% 189.51/29.34 | | | | | | | | End of split
% 189.51/29.34 | | | | | | | |
% 189.51/29.34 | | | | | | | End of split
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | Case 2:
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | (9848) all_56_1 = e2 & op(e3, e2) = e2
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | ALPHA: (9848) implies:
% 189.51/29.34 | | | | | | | (9849) op(e3, e2) = e2
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | REF_CLOSE: (170), (5643), (9849), (function-axioms) are
% 189.51/29.34 | | | | | | | inconsistent by sub-proof #825.
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | End of split
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | Case 2:
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | | (9850) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 189.51/29.34 | | | | | | op(e3, e0) = e2)
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | | BETA: splitting (9850) gives:
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | | Case 1:
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | (9851) all_56_4 = e2 & op(e3, e1) = e2
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | REF_CLOSE: (169), (5644), (9851), (function-axioms) are
% 189.51/29.34 | | | | | | | inconsistent by sub-proof #810.
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | Case 2:
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | (9852) all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | REF_CLOSE: (168), (5645), (9852), (function-axioms) are
% 189.51/29.34 | | | | | | | inconsistent by sub-proof #737.
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | End of split
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | End of split
% 189.51/29.34 | | | | |
% 189.51/29.34 | | | | End of split
% 189.51/29.34 | | | |
% 189.51/29.34 | | | Case 2:
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | (9853) all_10_2 = e2
% 189.51/29.34 | | | | (9854) ( ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 & op(e1, e2)
% 189.51/29.34 | | | | = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 =
% 189.51/29.34 | | | | e0) & op(e1, e2) = all_10_1 & $i(all_10_1))
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | COMBINE_EQS: (332), (9853) imply:
% 189.51/29.34 | | | | (9855) all_34_2 = e2
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | REDUCE: (350), (9853) imply:
% 189.51/29.34 | | | | (9856) ~ (all_52_2 = e2)
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | REDUCE: (361), (9853) imply:
% 189.51/29.34 | | | | (9857) ~ (all_52_6 = e2)
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | REDUCE: (363), (9853) imply:
% 189.51/29.34 | | | | (9858) ~ (all_52_8 = e2)
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | REDUCE: (364), (9853) imply:
% 189.51/29.34 | | | | (9859) ~ (all_52_9 = e2)
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | REDUCE: (366), (9853) imply:
% 189.51/29.34 | | | | (9860) ~ (all_52_11 = e2)
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | REDUCE: (368), (9853) imply:
% 189.51/29.34 | | | | (9861) ~ (all_52_14 = e2)
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | REDUCE: (45), (9853) imply:
% 189.51/29.34 | | | | (9862) op(e1, e1) = e2
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | BETA: splitting (49) gives:
% 189.51/29.34 | | | |
% 189.51/29.34 | | | | Case 1:
% 189.51/29.34 | | | | |
% 189.51/29.34 | | | | | (9863) ~ (all_12_2 = e2)
% 189.51/29.34 | | | | |
% 189.51/29.34 | | | | | REDUCE: (324), (9863) imply:
% 189.51/29.34 | | | | | (9864) ~ (all_6_2 = e2)
% 189.51/29.34 | | | | |
% 189.51/29.34 | | | | | BETA: splitting (52) gives:
% 189.51/29.34 | | | | |
% 189.51/29.34 | | | | | Case 1:
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | | (9865) ~ (all_14_2 = e1)
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | | BETA: splitting (58) gives:
% 189.51/29.34 | | | | | |
% 189.51/29.34 | | | | | | Case 1:
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | (9866) ~ (all_18_2 = e3)
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | REDUCE: (301), (9866) imply:
% 189.51/29.34 | | | | | | | (9867) ~ (all_14_2 = e3)
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | BETA: splitting (67) gives:
% 189.51/29.34 | | | | | | |
% 189.51/29.34 | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | |
% 189.51/29.34 | | | | | | | | (9868) ~ (all_24_2 = e1)
% 189.51/29.34 | | | | | | | |
% 189.51/29.34 | | | | | | | | REDUCE: (318), (9868) imply:
% 189.51/29.34 | | | | | | | | (9869) ~ (all_4_2 = e1)
% 189.51/29.34 | | | | | | | |
% 189.51/29.34 | | | | | | | | BETA: splitting (70) gives:
% 189.51/29.34 | | | | | | | |
% 189.51/29.34 | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | |
% 189.51/29.34 | | | | | | | | | (9870) ~ (all_26_2 = e1)
% 189.51/29.34 | | | | | | | | |
% 189.51/29.34 | | | | | | | | | REDUCE: (307), (9870) imply:
% 189.51/29.34 | | | | | | | | | (9871) ~ (all_6_2 = e1)
% 189.51/29.34 | | | | | | | | |
% 189.51/29.34 | | | | | | | | | BETA: splitting (204) gives:
% 189.51/29.34 | | | | | | | | |
% 189.51/29.34 | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | (9872) all_54_0 = e3
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | COMBINE_EQS: (279), (9872) imply:
% 189.51/29.34 | | | | | | | | | | (9873) all_6_2 = e3
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | REDUCE: (340), (9873) imply:
% 189.51/29.34 | | | | | | | | | | (9874) ~ (all_52_2 = e3)
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | REDUCE: (344), (9873) imply:
% 189.51/29.34 | | | | | | | | | | (9875) ~ (all_52_4 = e3)
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | REDUCE: (346), (9873) imply:
% 189.51/29.34 | | | | | | | | | | (9876) ~ (all_52_8 = e3)
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | REDUCE: (348), (9873) imply:
% 189.51/29.34 | | | | | | | | | | (9877) ~ (all_52_12 = e3)
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | REDUCE: (39), (9873) imply:
% 189.51/29.34 | | | | | | | | | | (9878) op(e3, e3) = e3
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | BETA: splitting (73) gives:
% 189.51/29.34 | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | (9879) ~ (all_28_2 = e2)
% 189.51/29.34 | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | REDUCE: (330), (9879) imply:
% 189.51/29.34 | | | | | | | | | | | (9880) ~ (all_14_2 = e2)
% 189.51/29.34 | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | BETA: splitting (189) gives:
% 189.51/29.34 | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | (9881) all_54_15 = e3
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | COMBINE_EQS: (246), (9881) imply:
% 189.51/29.34 | | | | | | | | | | | | (9882) all_14_2 = e3
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | REDUCE: (9867), (9882) imply:
% 189.51/29.34 | | | | | | | | | | | | (9883) $false
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | CLOSE: (9883) is inconsistent.
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | (9884) ~ (all_54_15 = e3)
% 189.51/29.34 | | | | | | | | | | | | (9885) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | BETA: splitting (9885) gives:
% 189.51/29.34 | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | (9886) all_54_15 = e2
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | COMBINE_EQS: (246), (9886) imply:
% 189.51/29.34 | | | | | | | | | | | | | (9887) all_14_2 = e2
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | REDUCE: (9880), (9887) imply:
% 189.51/29.34 | | | | | | | | | | | | | (9888) $false
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | CLOSE: (9888) is inconsistent.
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | (9889) ~ (all_54_15 = e2)
% 189.51/29.34 | | | | | | | | | | | | | (9890) all_54_15 = e1 | all_54_15 = e0
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | BETA: splitting (9890) gives:
% 189.51/29.34 | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | (9891) all_54_15 = e1
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | COMBINE_EQS: (246), (9891) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9892) all_14_2 = e1
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (9865), (9892) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9893) $false
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | CLOSE: (9893) is inconsistent.
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | (9894) all_54_15 = e0
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | COMBINE_EQS: (246), (9894) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9895) all_14_2 = e0
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (351), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9896) ~ (all_52_3 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (362), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9897) ~ (all_52_7 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (369), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9898) ~ (all_52_11 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (370), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9899) ~ (all_52_12 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (372), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9900) ~ (all_52_14 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (9867), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9901) ~ (e3 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (9880), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9902) ~ (e2 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (9865), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9903) ~ (e1 = e0)
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | REDUCE: (51), (9895) imply:
% 189.51/29.34 | | | | | | | | | | | | | | (9904) op(e0, e0) = e0
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.51/29.34 | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | (9905) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.34 | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.34 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.34 | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.34 | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.34 | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.34 | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.51/29.34 | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.51/29.34 | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.51/29.34 | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.51/29.34 | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.51/29.34 | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.51/29.34 | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.51/29.34 | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | BETA: splitting (9905) gives:
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | (9906) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.34 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.34 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.34 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.34 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.34 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.34 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.34 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.34 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | BETA: splitting (9906) gives:
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | (9907) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.34 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | BETA: splitting (9907) gives:
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | (9908) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | ALPHA: (9908) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | (9909) op(e1, e1) = e3
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (9909), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | (9910) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | ALPHA: (9910) implies:
% 189.51/29.34 | | | | | | | | | | | | | | | | | | (9911) op(e0, e0) = e3
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9904), (9911), (function-axioms) are
% 189.51/29.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 189.51/29.34 | | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | (9912) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.34 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.34 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.34 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.51/29.34 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.34 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (9904), (9912),
% 189.51/29.34 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.34 | | | | | | | | | | | | | | | | | #546.
% 189.51/29.34 | | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | (9913) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.34 | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.51/29.34 | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.51/29.34 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.51/29.34 | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.34 | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.51/29.34 | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.51/29.34 | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.51/29.34 | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.51/29.34 | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.51/29.34 | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.34 | | | | | | | | | | | | | | | | $i(all_57_10))
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (170), (9869), (9875), (9878),
% 189.51/29.34 | | | | | | | | | | | | | | | | (9904), (9913), (function-axioms) are inconsistent
% 189.51/29.34 | | | | | | | | | | | | | | | | by sub-proof #1313.
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | End of split
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | Case 2:
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | (9914) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.51/29.34 | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.34 | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.34 | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.34 | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.51/29.34 | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.34 | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.51/29.34 | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.51/29.34 | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.51/29.34 | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.51/29.34 | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.51/29.34 | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.51/29.34 | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.34 | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.34 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.34 | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.34 | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.51/29.34 | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.34 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.51/29.34 | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.34 | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.34 | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.51/29.34 | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.34 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.34 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.51/29.34 | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.34 | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.34 | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.34 | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.51/29.34 | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.34 | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | BETA: splitting (9914) gives:
% 189.51/29.34 | | | | | | | | | | | | | | |
% 189.51/29.34 | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34 | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | (9915) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.51/29.35 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.35 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.35 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.51/29.35 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.51/29.35 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.35 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.35 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.51/29.35 | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | BETA: splitting (9915) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | (9916) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.35 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9878), (9904), (9916),
% 189.51/29.35 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.35 | | | | | | | | | | | | | | | | | #1312.
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | (9917) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.51/29.35 | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (9877), (9904), (9917),
% 189.51/29.35 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.35 | | | | | | | | | | | | | | | | | #1828.
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | End of split
% 189.51/29.35 | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | (9918) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.51/29.35 | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.35 | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.51/29.35 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.35 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.35 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.51/29.35 | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.35 | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.51/29.35 | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.51/29.35 | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.51/29.35 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.51/29.35 | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.51/29.35 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.35 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.51/29.35 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.35 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.35 | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | BETA: splitting (9918) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | (9919) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.51/29.35 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.35 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_14))
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9878), (9919), (function-axioms) are
% 189.51/29.35 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | (9920) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.51/29.35 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.35 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.51/29.35 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.35 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | BETA: splitting (9920) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (9921) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.51/29.35 | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | ALPHA: (9921) implies:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (9922) op(e1, e1) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (9923) op(e2, e0) = e2
% 189.51/29.35 | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (164), (168), (170), (189), (199),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (218), (219), (220), (230), (246), (268), (352),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (360), (370), (373), (9865), (9867), (9869),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (9878), (9880), (9922), (9923), (function-axioms)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1637.
% 189.51/29.35 | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (9924) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.51/29.35 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.51/29.35 | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.51/29.35 | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.51/29.35 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.51/29.35 | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.51/29.35 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.51/29.35 | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.51/29.35 | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | BETA: splitting (9924) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9925) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | ALPHA: (9925) implies:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9926) ~ (all_57_14 = e0)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9927) ~ (all_57_11 = e2)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9928) op(e1, e0) = e1
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9929) op(e1, e1) = all_57_14
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9930) op(e2, e0) = all_57_11
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9931) op(e2, e2) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (9928) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9932) all_52_14 = e1
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | all_57_14, e1, e1, simplifying with (9862), (9929)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9933) all_57_14 = e2
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | all_57_11, e0, e2, simplifying with (164), (9930)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9934) all_57_11 = all_52_13
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (36), (9931) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9935) all_4_2 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (9935) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9936) all_36_2 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (9927), (9934) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9937) ~ (all_52_13 = e2)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (9932) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9938) ~ (all_52_2 = e1)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (352), (9935) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9939) ~ (all_52_4 = e0)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9932) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9940) ~ (all_52_6 = e1)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (354), (9935) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9941) ~ (all_52_6 = e0)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (358), (9935) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9942) ~ (all_52_9 = e0)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9932) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9943) ~ (all_52_12 = e1)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9932) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9944) ~ (all_52_13 = e1)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (9935) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9945) ~ (all_52_13 = e0)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (9932) imply:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | (9946) ~ (e2 = e1)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | (9947) all_54_8 = e3
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9874), (9947) are inconsistent by
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | (9948) ~ (all_54_8 = e3)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | (9949) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | (9950) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9950) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | (9951) all_56_6 = e0 & op(e1, e3) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9951) implies:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | (9952) all_56_6 = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (9953) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (159), (162), (163), (170),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (373), (9875), (9878), (9896), (9931), (9938),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (9940), (9953), (function-axioms) are inconsistent
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1259.
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (9954) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9954) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | (9955) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9955) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | (9956) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (9945), (9956), (function-axioms)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | (9957) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9957) gives:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (9958) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9958) implies:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (9959) op(e1, e1) = e0
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (374), (9864), (9865), (9867), (9869),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (9871), (9898), (9900), (9941), (9959),
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (9960) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.35 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9960) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (9961) op(e1, e0) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (9856), (9938), (9949),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (9961), (function-axioms) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (9962) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9962) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | (9963) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9963) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (9964) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9964) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (9965) (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (9966) (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9967) all_54_3 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9877), (9967) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9968) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9969) all_54_3 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9969) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9970) all_52_12 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9970) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9971) all_52_12 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9971) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9972) ~ (all_52_4 = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9971) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9973) ~ (all_52_13 = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9974) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9974) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9975) all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9975) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9976) all_56_9 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) all_54_7 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9977) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978) all_52_13 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9978) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9979) all_52_13 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9979) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9980) ~ (all_52_9 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (9979) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9981) op(e2, e0) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) ~ (all_36_2 = e0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9936), (9982) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) $false
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9983) is inconsistent.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) all_54_6 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9985) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) all_52_9 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9980), (9986) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) $false
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9987) is inconsistent.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) ~ (all_54_6 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9990) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) all_56_6 = e3 & op(e1, e3) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9991) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) op(e1, e3) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9874), (9992), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) all_56_7 = e3 & op(e1, e2) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9993) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) all_56_7 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) op(e1, e2) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (9876), (9980), (9996),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1757.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9997) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9997) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9998) all_56_8 = e3 & op(e1, e1) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9998) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9999) op(e1, e1) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (9999), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10000) all_56_14 = e3 & op(e0, e1) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10000) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_56_14 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9984) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10002) ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10002) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10003) op(e2, e0) = all_36_1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10004) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (9931), (9972), (10004),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10005) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10005) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10006) all_56_7 = e2 & op(e1, e2) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10006) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10007) op(e1, e2) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9995), (10007), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #823.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10008) all_56_13 = e2 & op(e0, e2) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10008) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10009) all_56_13 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10010) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10010) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10011) all_56_0 = e0 & op(e3, e3) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10011) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10012) op(e3, e3) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9878), (10012), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1961.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10013) all_56_1 = e0 & op(e3, e2) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10013) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10014) all_56_1 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10015) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10015) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10016) all_56_4 = e0 & op(e3, e1) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10016) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10017) all_56_4 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10018) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10018) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019) all_56_4 = e1 & op(e3, e1) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10019) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10020) all_56_4 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10017), (10020) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1827.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10021) all_56_5 = e1 & op(e2, e1) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10021) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10022) all_56_5 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10023) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10023) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10024) all_56_1 = e1 & op(e3, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10024) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10025) all_56_1 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10014), (10025) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026) e1 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10022), (10026) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027) all_56_5 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (9931),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944), (9981), (10003), (10027),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10028) all_56_3 = e1 & op(e2, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10028) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10029) op(e2, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9931), (10029), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10030) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10030) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10031) all_56_7 = e1 & op(e1, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10031) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10032) all_56_7 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (9931), (10014), (10032), (function-axioms)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1903.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10033) all_56_13 = e1 & op(e0, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10009), (10033) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1205.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10034) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (118), (157), (165), (169), (219),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (9858), (9859), (9942), (9989), (10001),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10034), (function-axioms) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #544.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10035) all_56_5 = e0 & op(e2, e1) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10035) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10036) all_56_5 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (9931),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944), (9981), (10003), (10036),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10037) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10037) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10038) all_56_8 = e0 & op(e1, e1) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10038) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10039) op(e1, e1) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (9938), (9952), (9994), (10039),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10040) all_56_14 = e0 & op(e0, e1) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10040) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10041) op(e0, e1) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9898), (10041), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1931.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10042) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10042) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10043) all_56_4 = e0 & op(e3, e1) = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10043) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10044) all_56_4 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9966) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10045) all_57_12 = e3 & op(e2, e2) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10045) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10046) op(e2, e2) = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10046), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10047) ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10047) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10048) op(e2, e3) = all_57_0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049) all_54_9 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10049) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10050) all_52_6 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10050) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10051) all_52_6 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10051) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10052) ~ (all_52_7 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10052) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10053) ~ (all_52_7 = e3)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10054) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10054) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10055) all_56_4 = e1 & op(e3, e1) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10044), (10055) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #718.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10056) all_56_5 = e1 & op(e2, e1) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10056) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10057) op(e2, e1) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10058) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10058) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10059) all_56_1 = e1 & op(e3, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10059) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10060) all_56_1 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10061) all_54_1 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10061) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10062) all_52_4 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9875), (10062) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10063) $false
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10063) is inconsistent.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10064) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10065) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10065) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10066) all_56_2 = e2 & op(e2, e3) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10066) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10067) op(e2, e3) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10064) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10068) all_54_1 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10068) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10069) all_52_4 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9972), (10069) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10070) $false
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10070) is inconsistent.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10071) all_54_1 = e1 | all_54_1 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10071) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10072) all_54_1 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10072) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10073) all_52_4 = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10073) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10074) ~ (all_52_7 = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10074) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10075) ~ (all_52_7 = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10076) all_54_13 = e3
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10053), (10076) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1445.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10077) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10077) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_0,
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10048), (10067) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10078) all_57_0 = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9966), (10078), (function-axioms)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1664.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10079) all_54_13 = e1 | all_54_13 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (9897), (10075), (10079) are inconsistent
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1652.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10080) all_54_1 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10080) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10081) all_52_4 = e0
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9939), (10081) imply:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10082) $false
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10082) is inconsistent.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10083) all_56_3 = e2 & op(e2, e2) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (9994), (10009), (10060),
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10083), (function-axioms) are inconsistent by
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #822.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10084) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10084) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10085) all_56_5 = e2 & op(e2, e1) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10085) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10086) op(e2, e1) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10057), (10086), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10087) all_56_10 = e2 & op(e2, e0) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10087) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10088) op(e2, e0) = e2
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9981), (10003), (10088), (function-axioms)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1709.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10089) all_56_3 = e1 & op(e2, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10089) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10090) op(e2, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9931), (10090), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10091) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10091) gives:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10092) all_56_7 = e1 & op(e1, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10092) implies:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093) op(e1, e2) = e1
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9940), (10093), (function-axioms) are
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094) all_56_13 = e1 & op(e0, e2) = e1
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10094) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095) all_56_13 = e1
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10009), (10095) are inconsistent by
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1916.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (118), (157), (165), (169), (219),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (9858), (9859), (9942), (9989), (10001),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096), (function-axioms) are inconsistent by
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #544.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10097) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9857), (9940), (9941), (10097) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #951.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) all_56_9 = e0 & op(e3, e0) = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10098) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10099) op(e3, e0) = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9899), (10099), (function-axioms) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1799.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10100) ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9981), (10100), (function-axioms) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10101) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10101) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10102) all_56_8 = e3 & op(e1, e1) = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10102) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103) op(e1, e1) = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10103), (function-axioms) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10104) all_56_11 = e3 & op(e1, e0) = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10104) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10105) all_56_11 = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (163),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (170), (195), (210), (213),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (219), (220), (224), (227), (228),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (258),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (9857), (9858), (9859), (9862), (9876),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878), (9904), (9931), (9938), (9940), (9941),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943), (9965), (9972), (9976), (9980), (10105),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #540.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10106) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9937), (9944), (9945), (10106) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10107) all_56_10 = e2 & op(e2, e0) = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10107) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108) op(e2, e0) = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (10108), (function-axioms) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10109) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (9861), (9904), (10109),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10110) all_54_3 = e1 | all_54_3 = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (9899), (9928), (10110),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10111) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10111) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10112) op(e2, e2) = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9931), (10112), (function-axioms) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (10113) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (373), (374), (9862), (9864), (9865), (9867),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (9869), (9871), (9898), (9900), (9928), (9941),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (10113), (function-axioms) are inconsistent by
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #538.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | (10114) all_56_7 = e0 & op(e1, e2) = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10114) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | (10115) all_56_7 = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (10116) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (159), (162), (163), (170),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (373), (9875), (9878), (9896), (9931), (9938),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (9940), (10116), (function-axioms) are
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (10117) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10117) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (10118) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10118) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (10119) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (9945), (10119), (function-axioms)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (10120) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10120) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10121) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10121) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10122) op(e1, e1) = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (9856), (10115), (10122), (function-axioms)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #750.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10123) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10123) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10124) op(e1, e0) = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (9856), (9938), (9949),
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10124), (function-axioms) are inconsistent by
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (10125) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10125) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (10126) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10126) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10127) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10127) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (10128) (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129) all_54_3 = e3
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9877), (10129) are inconsistent by
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10130) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10130) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10131) all_54_3 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10131) imply:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10132) all_52_12 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10132) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10133) all_52_12 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10133) imply:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10134) ~ (all_52_4 = e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10133) imply:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10135) ~ (all_52_13 = e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10136) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10136) gives:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10137) all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10137) implies:
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10138) all_56_9 = e2
% 189.51/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10139) all_54_7 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10139) imply:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10140) all_52_13 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10140) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10141) all_52_13 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10141) imply:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142) ~ (all_52_9 = e3)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10143) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) all_56_6 = e3 & op(e1, e3) = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10144) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10145) op(e1, e3) = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9874), (10145), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10146) all_56_7 = e3 & op(e1, e2) = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10115), (10146) are inconsistent by
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1094.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10147) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148) all_56_8 = e3 & op(e1, e1) = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10148) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) op(e1, e1) = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10149), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) all_56_11 = e3 & op(e1, e0) = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10150) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) all_56_11 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (163),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (170), (195), (210), (213),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (219), (220), (224), (227), (228),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (258),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (9857), (9858), (9859), (9862), (9876),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878), (9904), (9931), (9938), (9940), (9941),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943), (10128), (10134), (10138), (10142),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151), (function-axioms) are inconsistent by
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #540.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9937), (9944), (9945), (10152) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) all_56_10 = e2 & op(e2, e0) = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10153) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) op(e2, e0) = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (10154), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (9861), (9904), (10155),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) all_54_3 = e1 | all_54_3 = e0
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (9899), (9928), (10156),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10157) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) op(e2, e2) = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9931), (10158), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (10159) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (373), (374), (9862), (9864), (9865), (9867),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (9869), (9871), (9898), (9900), (9928), (9941),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | (10159), (function-axioms) are inconsistent by
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #538.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | (10160) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10160) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (10161) all_56_8 = e0 & op(e1, e1) = e0
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10161) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (10162) op(e1, e1) = e0
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (373), (374), (9864), (9865), (9867), (9869),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (9871), (9898), (9900), (9941), (10162),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | #1489.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (10163) all_56_11 = e0 & op(e1, e0) = e0
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10163) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (10164) op(e1, e0) = e0
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (9856), (9938), (9949),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | (10164), (function-axioms) are inconsistent by
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1256.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (10165) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | ALPHA: (10165) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (10166) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (158), (159), (373), (9869), (9878),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (9896), (9897), (10166), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #537.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | (10167) all_28_2 = e2
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | COMBINE_EQS: (330), (10167) imply:
% 189.51/29.38 | | | | | | | | | | | (10168) all_14_2 = e2
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | SIMP: (10168) implies:
% 189.51/29.38 | | | | | | | | | | | (10169) all_14_2 = e2
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | REDUCE: (351), (10169) imply:
% 189.51/29.38 | | | | | | | | | | | (10170) ~ (all_52_3 = e2)
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | REDUCE: (370), (10169) imply:
% 189.51/29.38 | | | | | | | | | | | (10171) ~ (all_52_12 = e2)
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | REDUCE: (371), (10169) imply:
% 189.51/29.38 | | | | | | | | | | | (10172) ~ (all_52_13 = e2)
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | REDUCE: (9867), (10169) imply:
% 189.51/29.38 | | | | | | | | | | | (10173) ~ (e3 = e2)
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | REDUCE: (51), (10169) imply:
% 189.51/29.38 | | | | | | | | | | | (10174) op(e0, e0) = e2
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | BETA: splitting (234) gives:
% 189.51/29.38 | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | (10175) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.51/29.38 | | | | | | | | | | | | & op(e3, e2) = e2)
% 189.51/29.38 | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | BETA: splitting (10175) gives:
% 189.51/29.38 | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | (10176) all_56_0 = e2 & op(e3, e3) = e2
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | ALPHA: (10176) implies:
% 189.51/29.38 | | | | | | | | | | | | | (10177) op(e3, e3) = e2
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | REF_CLOSE: (9), (9878), (10177), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | (10178) all_56_1 = e2 & op(e3, e2) = e2
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | ALPHA: (10178) implies:
% 189.51/29.38 | | | | | | | | | | | | | (10179) op(e3, e2) = e2
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.51/29.38 | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | (10180) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.51/29.38 | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 189.51/29.38 | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | BETA: splitting (10180) gives:
% 189.51/29.38 | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | (10181) all_56_0 = e2 & op(e3, e3) = e2
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | ALPHA: (10181) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | (10182) op(e3, e3) = e2
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | REF_CLOSE: (9), (9878), (10182), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | (10183) all_56_2 = e2 & op(e2, e3) = e2
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | ALPHA: (10183) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | (10184) op(e2, e3) = e2
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.51/29.38 | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | (10185) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.38 | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.38 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.38 | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.38 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.38 | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.38 | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.51/29.38 | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.51/29.38 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.51/29.38 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.51/29.38 | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.51/29.38 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.51/29.38 | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38 | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.51/29.38 | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.51/29.38 | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.51/29.38 | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.38 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.38 | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.38 | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | BETA: splitting (10185) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | (10186) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | BETA: splitting (10186) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (10187) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10174), (10187), (function-axioms)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #536.
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (10188) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.38 | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10174), (10188),
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.38 | | | | | | | | | | | | | | | | | | #1591.
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | (10189) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.38 | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.51/29.38 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | $i(all_57_10))
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | BETA: splitting (10189) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (10190) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10179), (10190), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1141.
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (10191) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.38 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | BETA: splitting (10191) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (10192) all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | ALPHA: (10192) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (10193) op(e3, e3) = e2
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9878), (10193), (function-axioms) are
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | (10194) (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (10194) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | (10195) all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | ALPHA: (10195) implies:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | (10196) ~ (all_57_14 = e2)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | (10197) ~ (all_57_5 = e0)
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | (10198) op(e0, e2) = all_57_5
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | (10199) op(e1, e2) = e1
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (10200) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10200) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (10201) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10201) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10202) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10179), (10202),
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | #535.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10203) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10203) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10204) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10204) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10205) op(e3, e3) = e1
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9878), (10205), (function-axioms) are
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10206) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10206) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10207) (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10184), (10207), (function-axioms)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #534.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (10208) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10208) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10209) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (9878), (10184), (10209),
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | #533.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10210) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10210) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10211) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10211) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10212) op(e2, e2) = e1
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9869), (10212), (function-axioms) are
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10213) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10213) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10214) all_57_14 = e2
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10196), (10214) imply:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10215) $false
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10215) is inconsistent.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (10216) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10216) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (10217) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10217) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10218) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10172), (10197), (10198), (10218),
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10219) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10219) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10220) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10220) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10221) op(e1, e1) = e0
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (10221), (function-axioms) are
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10222) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10222) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10223) op(e0, e0) = e1
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10174), (10223), (function-axioms) are
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (10224) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10224) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10225) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10225) gives:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10226) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10226) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10227) (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10184), (10227), (function-axioms)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #534.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10228) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10228) implies:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | (10229) (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10196), (10199), (10229), (function-axioms) are
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #532.
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (10230) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10174), (10230),
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | #531.
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10231) all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | ALPHA: (10231) implies:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10232) op(e2, e2) = e1
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9869), (10232), (function-axioms) are
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1969.
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40 | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40 | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | End of split
% 189.51/29.40 | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | (10233) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.40 | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.40 | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.40 | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.51/29.40 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.40 | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.40 | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.51/29.40 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.51/29.40 | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.51/29.40 | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.51/29.40 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.51/29.40 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.40 | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.51/29.40 | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.51/29.40 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.51/29.40 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.40 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.40 | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | BETA: splitting (10233) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | (10234) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.40 | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.40 | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.51/29.40 | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (9877), (9878), (10174), (10234),
% 189.51/29.40 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.40 | | | | | | | | | | | | | | | | | #1585.
% 189.51/29.40 | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | (10235) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.40 | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.51/29.40 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.51/29.40 | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.51/29.40 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.51/29.40 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.51/29.40 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.51/29.40 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.40 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.40 | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | BETA: splitting (10235) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | (10236) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.51/29.40 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 189.51/29.40 | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9878), (10236), (function-axioms) are
% 189.51/29.40 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 189.51/29.40 | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | (10237) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.51/29.40 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.40 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.40 | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | BETA: splitting (10237) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | (10238) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | ALPHA: (10238) implies:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | (10239) op(e2, e0) = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10172), (10239), (function-axioms) are
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | (10240) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (10240) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10241) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | ALPHA: (10241) implies:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10242) ~ (all_57_14 = e0)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10243) op(e1, e0) = e1
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10244) op(e1, e1) = all_57_14
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10245) op(e2, e0) = all_57_11
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | (10246) op(e2, e2) = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | (10247) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (10171), (10172), (10247),
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | #736.
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | (10248) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10248) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10249) all_56_11 = e2 & op(e1, e0) = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9861), (10249), (function-axioms) are
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #760.
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10250) all_56_15 = e2 & op(e0, e0) = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (10243) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10251) all_52_14 = e1
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | all_57_14, e1, e1, simplifying with (9862),
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10244) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10252) all_57_14 = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | all_57_11, e0, e2, simplifying with (164), (10245)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10253) all_57_11 = all_52_13
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (36), (10246) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10254) all_4_2 = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (10184) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10255) all_52_1 = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10179) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10256) all_52_4 = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10255) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10257) ~ (all_52_13 = e2)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (10251) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10258) ~ (all_52_2 = e1)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10256) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10259) ~ (all_52_12 = e2)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10251) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10260) ~ (all_52_6 = e1)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10251) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10261) ~ (all_52_12 = e1)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (10254) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10262) ~ (all_52_13 = e0)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (10251) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10263) ~ (e2 = e1)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10254) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10264) ~ (e3 = e0)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9869), (10254) imply:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | (10265) ~ (e1 = e0)
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | (10266) all_54_3 = e3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9877), (10266) are inconsistent by
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | (10267) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10267) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | (10268) all_54_3 = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10171), (10268) are inconsistent by
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1689.
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | (10269) all_54_3 = e1 | all_54_3 = e0
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (10270) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10270) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (10271) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10271) gives:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10272) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10179), (10272),
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #535.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10273) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (9878), (10258), (10273),
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1672.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (10274) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10274) gives:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10275) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (9878), (10184), (10275),
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #533.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10276) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (10246), (10260), (10276),
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1731.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (10277) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10277) gives:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (10278) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10278) gives:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10279) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10172), (10262), (10279),
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1172.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10280) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10280) gives:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10281) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10281) implies:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10282) op(e1, e1) = e0
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10242), (10244), (10282), (function-axioms) are
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1636.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10283) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10283) implies:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10284) op(e1, e0) = e0
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (10261), (10269), (10284),
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (10285) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10285) gives:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10286) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10286) gives:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10287) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10287) implies:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288) (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10184), (10288), (function-axioms)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #534.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10289) implies:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290) op(e2, e2) = e2
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10246), (10290), (function-axioms) are
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10291) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10174), (10291),
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #531.
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (10292) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (10292) implies:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (10293) op(e0, e0) = all_57_15
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (10294) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10294) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (10295) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (9862), (10174), (10293),
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (10295), (function-axioms) are inconsistent by
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | sub-proof #529.
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (10296) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10296) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | (10297) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10297) implies:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | (10298) ~ (all_57_15 = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10174), (10293), (10298), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #748.
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | (10299) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (9869), (9878), (10299),
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | #1954.
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | (10300) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.51/29.42 | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | BETA: splitting (10300) gives:
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | (10301) all_56_6 = e2 & op(e1, e3) = e2
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10301), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | (10302) all_56_12 = e2 & op(e0, e3) = e2
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | REF_CLOSE: (159), (10170), (10302), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | | | inconsistent by sub-proof #528.
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | (10303) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.51/29.42 | | | | | | | | | | | | & op(e3, e0) = e2)
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | BETA: splitting (10303) gives:
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | (10304) all_56_4 = e2 & op(e3, e1) = e2
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10304), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | (10305) all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REF_CLOSE: (168), (10171), (10305), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | (10306) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (9871), (10306) are
% 189.51/29.42 | | | | | | | | | | inconsistent by sub-proof #1952.
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | (10307) all_26_2 = e1
% 189.51/29.42 | | | | | | | | | (10308) ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 189.51/29.42 | | | | | | | | | op(e3, e1) = all_26_1 & $i(all_26_0) &
% 189.51/29.42 | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 189.51/29.42 | | | | | | | | | = all_26_1 & $i(all_26_1))
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | COMBINE_EQS: (307), (10307) imply:
% 189.51/29.42 | | | | | | | | | (10309) all_6_2 = e1
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | COMBINE_EQS: (303), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10310) all_42_2 = e1
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (338), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10311) ~ (all_52_1 = e1)
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (340), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10312) ~ (all_52_2 = e1)
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (342), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10313) ~ (all_52_3 = e1)
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (344), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10314) ~ (all_52_4 = e1)
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (346), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10315) ~ (all_52_8 = e1)
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (348), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10316) ~ (all_52_12 = e1)
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (9864), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10317) ~ (e2 = e1)
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | REDUCE: (39), (10309) imply:
% 189.51/29.42 | | | | | | | | | (10318) op(e3, e3) = e1
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | BETA: splitting (73) gives:
% 189.51/29.42 | | | | | | | | |
% 189.51/29.42 | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | (10319) ~ (all_28_2 = e2)
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | REDUCE: (330), (10319) imply:
% 189.51/29.42 | | | | | | | | | | (10320) ~ (all_14_2 = e2)
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | BETA: splitting (189) gives:
% 189.51/29.42 | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | (10321) all_54_15 = e3
% 189.51/29.42 | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | REF_CLOSE: (246), (9867), (10321) are inconsistent by
% 189.51/29.42 | | | | | | | | | | | sub-proof #1675.
% 189.51/29.42 | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | (10322) ~ (all_54_15 = e3)
% 189.51/29.42 | | | | | | | | | | | (10323) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 189.51/29.42 | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | BETA: splitting (10323) gives:
% 189.51/29.42 | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | (10324) all_54_15 = e2
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | REF_CLOSE: (246), (10320), (10324) are inconsistent by
% 189.51/29.42 | | | | | | | | | | | | sub-proof #1648.
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | (10325) ~ (all_54_15 = e2)
% 189.51/29.42 | | | | | | | | | | | | (10326) all_54_15 = e1 | all_54_15 = e0
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | BETA: splitting (10326) gives:
% 189.51/29.42 | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | (10327) all_54_15 = e1
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REF_CLOSE: (246), (9865), (10327) are inconsistent by
% 189.51/29.42 | | | | | | | | | | | | | sub-proof #1660.
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | (10328) all_54_15 = e0
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | COMBINE_EQS: (246), (10328) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10329) all_14_2 = e0
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | SIMP: (10329) implies:
% 189.51/29.42 | | | | | | | | | | | | | (10330) all_14_2 = e0
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (351), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10331) ~ (all_52_3 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (362), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10332) ~ (all_52_7 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (369), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10333) ~ (all_52_11 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (371), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10334) ~ (all_52_13 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (372), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10335) ~ (all_52_14 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (9867), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10336) ~ (e3 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (10320), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10337) ~ (e2 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (9865), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10338) ~ (e1 = e0)
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | REDUCE: (51), (10330) imply:
% 189.51/29.42 | | | | | | | | | | | | | (10339) op(e0, e0) = e0
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 189.51/29.42 | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | (10340) ~ (all_32_2 = e0)
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | REDUCE: (314), (10340) imply:
% 189.51/29.42 | | | | | | | | | | | | | | (10341) ~ (all_4_2 = e0)
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.51/29.42 | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | (10342) all_54_5 = e3
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10342) imply:
% 189.51/29.42 | | | | | | | | | | | | | | | (10343) all_4_2 = e3
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | REDUCE: (373), (10343) imply:
% 189.51/29.42 | | | | | | | | | | | | | | | (10344) $false
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | CLOSE: (10344) is inconsistent.
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | (10345) ~ (all_54_5 = e3)
% 189.51/29.42 | | | | | | | | | | | | | | | (10346) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | BETA: splitting (10346) gives:
% 189.51/29.42 | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | (10347) all_54_5 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10347) imply:
% 189.51/29.42 | | | | | | | | | | | | | | | | (10348) all_4_2 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | REDUCE: (349), (10348) imply:
% 189.51/29.42 | | | | | | | | | | | | | | | | (10349) ~ (all_52_1 = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | REDUCE: (352), (10348) imply:
% 189.51/29.42 | | | | | | | | | | | | | | | | (10350) ~ (all_52_4 = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | REDUCE: (360), (10348) imply:
% 189.51/29.42 | | | | | | | | | | | | | | | | (10351) ~ (all_52_13 = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | REDUCE: (36), (10348) imply:
% 189.51/29.42 | | | | | | | | | | | | | | | | (10352) op(e2, e2) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | (10353) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | BETA: splitting (10353) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10354) all_56_0 = e2 & op(e3, e3) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | ALPHA: (10354) implies:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10355) op(e3, e3) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10355), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10356) all_56_1 = e2 & op(e3, e2) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | ALPHA: (10356) implies:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10357) op(e3, e2) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10350), (10357), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #825.
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | (10358) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | BETA: splitting (10358) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10359) all_56_4 = e2 & op(e3, e1) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10359), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10360) all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | ALPHA: (10360) implies:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10361) all_56_9 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | | (10362) op(e3, e0) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | (10363) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (10318), (10349), (10363),
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | #1469.
% 189.51/29.42 | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | (10364) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (10364) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (10365) all_56_6 = e2 & op(e1, e3) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10365), (function-axioms) are
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (10366) all_56_12 = e2 & op(e0, e3) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (10366) implies:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (10367) all_56_12 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | (10368) op(e0, e3) = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (10369) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10369) gives:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | (10370) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10370) gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | (10371) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10349), (10371), (function-axioms) are
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | (10372) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (10312), (10372),
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | #1973.
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | (10373) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10373) gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | (10374) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10374) gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10375) all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10375) implies:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10376) ~ (all_57_10 = e2)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10377) ~ (all_57_4 = e1)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10378) op(e1, e2) = all_57_4
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10379) op(e3, e2) = e3
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10380) op(e3, e3) = all_57_10
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (10368) gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10381) all_52_3 = e2
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4, e2, e1, simplifying with (162), (10378)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10382) all_57_4 = all_52_6
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (10362) gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10383) all_52_12 = e2
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10379) gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10384) all_52_4 = e3
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10, e3, e3, simplifying with (10318),
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10380) gives:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10385) all_57_10 = e1
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10377), (10382) imply:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10386) ~ (all_52_6 = e1)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10381) imply:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10387) ~ (all_52_7 = e2)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10387) implies:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10388) ~ (all_52_7 = e2)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10381) imply:
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | | (10389) ~ (all_52_11 = e2)
% 189.86/29.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10384) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | (10390) ~ (all_52_6 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10390) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | (10391) ~ (all_52_6 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10384) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | (10392) ~ (all_52_7 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10392) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | (10393) ~ (all_52_7 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10384) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | (10394) ~ (all_52_8 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10394) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | (10395) ~ (all_52_8 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10383) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | (10396) ~ (all_52_13 = e2)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | (10397) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10397) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) all_56_0 = e3 & op(e3, e3) = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10398) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (10399) op(e3, e3) = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10318), (10399), (function-axioms) are
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (10400) all_56_1 = e3 & op(e3, e2) = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10400) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (10401) all_56_1 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) all_54_2 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10395), (10402) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1762.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) ~ (all_54_2 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10404) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) all_54_2 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9858), (10405) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1761.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) ~ (all_54_2 = e2)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) all_54_2 = e1 | all_54_2 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10407) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) all_54_2 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10315), (10408) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1760.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) all_54_2 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10409) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) all_52_8 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10410) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) all_52_8 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10411) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) ~ (all_52_9 = e0)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10412) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) ~ (all_52_9 = e0)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10411) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) ~ (all_52_11 = e0)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (10312), (10386), (10415),
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10416) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) all_56_8 = e1 & op(e1, e1) = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10417) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) op(e1, e1) = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (10418), (function-axioms) are
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) all_56_11 = e1 & op(e1, e0) = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10419) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) op(e1, e0) = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) all_54_13 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10393), (10421) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1445.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) ~ (all_54_13 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10423) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_54_13 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10388), (10424) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1444.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) ~ (all_54_13 = e2)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) all_54_13 = e1 | all_54_13 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) all_54_9 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (10391), (10427) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428) ~ (all_54_9 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10429) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10426) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430) all_54_13 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10430) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10431) all_52_7 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10431) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432) all_52_7 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (10432) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10433) ~ (all_52_11 = e1)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10433) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434) ~ (all_52_11 = e1)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10435) all_54_14 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10435) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436) all_52_11 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10436) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) all_52_11 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10437) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438) ~ (all_52_9 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10439) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10439) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) all_56_12 = e3 & op(e0, e3) = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10367), (10440) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1226.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) all_56_13 = e3 & op(e0, e2) = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10441) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) op(e0, e2) = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10393), (10442), (function-axioms) are
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #783.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10443) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) all_56_14 = e3 & op(e0, e1) = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10444) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) all_56_14 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) all_54_6 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10438), (10446) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10447) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) all_54_6 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (10448) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1467.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) ~ (all_54_6 = e2)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) all_54_6 = e1 | all_54_6 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10429) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10451) all_54_9 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9857), (10451) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1142.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10452) ~ (all_54_9 = e2)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10453) all_54_9 = e1 | all_54_9 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10453) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454) all_54_9 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (10386), (10454) are inconsistent by
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1804.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) all_54_9 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10455) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) all_52_6 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10456) implies:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10457) all_52_6 = e0
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10457) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10458) ~ (all_52_2 = e0)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10457) imply:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10459) ~ (all_52_14 = e0)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10460) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10460) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10461) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10376), (10380), (10462),
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #527.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (10312), (10395), (10463),
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1733.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10464) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (10318), (10331), (10465),
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1891.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10352), (10379), (10466),
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1078.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10467) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10468) gives:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10469) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (10318), (10351), (10379), (10469),
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #526.
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (160), (261), (10335), (10413),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450), (10470), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10471) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (232),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (10315), (10318), (10379), (10401),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472), (function-axioms) are inconsistent by
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1870.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10473) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10474) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) op(e1, e1) = e1
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (9858), (9859),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445), (10475), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10476) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10477) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) all_57_14 = e0 & op(e1, e1) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10478) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) op(e1, e1) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (51), (113), (117), (120),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (148), (157), (159), (160), (163), (164),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (197), (199),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (218), (219), (220), (229), (230), (238),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (246), (260), (268), (351), (352), (358),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360), (369), (370), (372), (373), (9865), (9867),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9869), (10312), (10314), (10318), (10320),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10323), (10458), (10479), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1470.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10480) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) ~ (all_57_13 = e1)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) op(e1, e0) = all_57_13
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10420), (10481), (10482), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1437.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) all_56_15 = e3 & op(e0, e0) = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10483) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) op(e0, e0) = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (9865), (9867), (10326), (10484),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1647.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (10333), (10434), (10485) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) all_54_13 = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10332), (10486) are inconsistent by
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1653.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | (10487) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10487) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) all_56_4 = e3 & op(e3, e1) = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10488) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) op(e3, e1) = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10395), (10489), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) all_56_9 = e3 & op(e3, e0) = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10361), (10490) are inconsistent by
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #525.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10491) all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10491) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10492) op(e0, e0) = e2
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10339), (10492), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (10493) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (10318), (10339), (10352), (10493),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (10494) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10494) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (10495) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10495) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (10496) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10496) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10497) all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10497) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10498) op(e0, e0) = e1
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10339), (10498), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10499) all_57_7 = e2 & all_57_10 = e1 & ~ (all_57_6 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10499) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10500) op(e2, e1) = e2
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (9869), (10341), (10346),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10500), (function-axioms) are inconsistent by
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1940.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (10501) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (113), (117), (120),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (160), (163), (164), (165), (168),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (169), (197), (214), (238), (239), (260), (373),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (9859), (10312), (10318), (10331), (10333),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (10334), (10335), (10339), (10351), (10352),
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (10501), (function-axioms) are inconsistent by
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (10502) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10502) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (10503) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10503), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (10504) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10504) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10505) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10505) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10506) op(e2, e0) = e2
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10351), (10506), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (10507) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10507) gives:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | (10508) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10508) implies:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | (10509) op(e2, e2) = e0
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10352), (10509), (function-axioms) are
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | (10510) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10510) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10511) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (158), (159), (373), (10331),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10332), (10333), (10352), (10511),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | #524.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | (10512) all_54_5 = e1 | all_54_5 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (9869), (10341), (10512) are inconsistent
% 189.86/29.45 | | | | | | | | | | | | | | | | by sub-proof #1941.
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | (10513) all_32_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | COMBINE_EQS: (314), (10513) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10514) all_4_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | COMBINE_EQS: (309), (10514) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10515) all_36_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (36), (10514) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10516) op(e2, e2) = e0
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | (10517) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | BETA: splitting (10517) gives:
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | (10518) all_56_4 = e0 & op(e3, e1) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | ALPHA: (10518) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | (10519) all_56_4 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | (10520) op(e3, e1) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10521) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | BETA: splitting (10521) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10522) all_56_0 = e0 & op(e3, e3) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | ALPHA: (10522) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10523) op(e3, e3) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10523), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10524) all_56_2 = e0 & op(e2, e3) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | ALPHA: (10524) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10525) all_56_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10526) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10516), (10525), (10526), (function-axioms)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1714.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10527) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (10527) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10528) all_56_5 = e2 & op(e2, e1) = e2
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (10528) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10529) op(e2, e1) = e2
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9859), (10529), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1942.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10530) all_56_10 = e2 & op(e2, e0) = e2
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (10530) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10531) all_56_10 = e2
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (223), (224), (373), (10515), (10516), (10525),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10531), (function-axioms) are inconsistent by
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | sub-proof #1702.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10532) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.86/29.45 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | BETA: splitting (10532) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10533) all_56_6 = e0 & op(e1, e3) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | ALPHA: (10533) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10534) op(e1, e3) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 189.86/29.45 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (10534) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10535) all_52_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 189.86/29.45 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (10520) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10536) all_52_8 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REDUCE: (149), (10535) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10537) ~ (all_52_1 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REDUCE: (144), (10535) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10538) ~ (all_52_3 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REDUCE: (141), (10535) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10539) ~ (all_52_14 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REDUCE: (134), (10536) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10540) ~ (all_52_4 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REDUCE: (123), (10536) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10541) ~ (all_52_9 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | SIMP: (10541) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10542) ~ (all_52_9 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REDUCE: (121), (10536) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10543) ~ (all_52_11 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | BETA: splitting (10308) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10544) ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_26_1 & $i(all_26_0) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | ALPHA: (10544) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10545) op(e3, e1) = all_26_1
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10546) ~ (all_42_2 = e1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (10310), (10546) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10547) $false
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | CLOSE: (10547) is inconsistent.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10548) ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (10520), (10545) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10549) all_26_1 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10548) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10550) ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10550) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10551) ~ (all_42_0 = e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10552) op(e3, e1) = all_42_1
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10553) op(all_42_1, e3) = all_42_0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (51), (110), (117), (118),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (120), (125), (133), (135), (139), (140), (145),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (146), (148), (157), (158), (159), (160), (163),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (191), (192), (197), (198), (200), (203), (206),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (219), (220), (222),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (239),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (246), (247), (248), (249), (260), (261), (269),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (272), (373), (9859), (9860), (9861), (9862),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (9865), (9867), (10311), (10312), (10313),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10314), (10315), (10318), (10326), (10331),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10332), (10333), (10334), (10335), (10339),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10516), (10519), (10520), (10537), (10540),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10542), (10551), (10552), (10553),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | #515.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10554) ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10520), (10554), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1243.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10555) ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | ALPHA: (10555) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10556) ~ (all_26_1 = e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10557) op(e3, e1) = all_26_1
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10558) ~ (all_42_2 = e1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (10310), (10558) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10559) $false
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | CLOSE: (10559) is inconsistent.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10560) ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (10520), (10557) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10561) all_26_1 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10560) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10562) ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10562) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10563) ~ (all_42_0 = e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10564) op(e3, e1) = all_42_1
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10565) op(all_42_1, e3) = all_42_0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (51), (110), (117), (118),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (120), (125), (133), (135), (139), (140), (145),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (146), (148), (157), (158), (159), (160), (163),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (190),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (191), (192), (197), (198), (200), (203), (206),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (219), (220), (222),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (239),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (246), (247), (248), (249), (260), (261), (269),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (272), (373), (9859), (9860), (9861), (9862),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (9865), (9867), (10311), (10312), (10313),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10314), (10315), (10318), (10326), (10331),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10332), (10333), (10334), (10335), (10339),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10516), (10519), (10520), (10537), (10540),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10542), (10563), (10564), (10565),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | #515.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10566) ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10520), (10566), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1243.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10567) all_56_12 = e0 & op(e0, e3) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | ALPHA: (10567) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10568) op(e0, e3) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10331), (10568), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1935.
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | (10569) all_56_5 = e0 & op(e2, e1) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | ALPHA: (10569) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | (10570) all_56_5 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 189.86/29.45 | | | | | | | | | | | | | | | | (224), (229), (233), (235), (373), (10318),
% 189.86/29.45 | | | | | | | | | | | | | | | | (10516), (10570), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | (10571) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.86/29.45 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (9862), (10333), (10571),
% 189.86/29.45 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.45 | | | | | | | | | | | | | | | #514.
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | End of split
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | (10572) all_28_2 = e2
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | COMBINE_EQS: (330), (10572) imply:
% 189.86/29.45 | | | | | | | | | | (10573) all_14_2 = e2
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | SIMP: (10573) implies:
% 189.86/29.45 | | | | | | | | | | (10574) all_14_2 = e2
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | REDUCE: (351), (10574) imply:
% 189.86/29.45 | | | | | | | | | | (10575) ~ (all_52_3 = e2)
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | REDUCE: (370), (10574) imply:
% 189.86/29.45 | | | | | | | | | | (10576) ~ (all_52_12 = e2)
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | REDUCE: (9867), (10574) imply:
% 189.86/29.45 | | | | | | | | | | (10577) ~ (e3 = e2)
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | REDUCE: (51), (10574) imply:
% 189.86/29.45 | | | | | | | | | | (10578) op(e0, e0) = e2
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | BETA: splitting (234) gives:
% 189.86/29.45 | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | (10579) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.86/29.45 | | | | | | | | | | | & op(e3, e2) = e2)
% 189.86/29.45 | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | BETA: splitting (10579) gives:
% 189.86/29.45 | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | (10580) all_56_0 = e2 & op(e3, e3) = e2
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | ALPHA: (10580) implies:
% 189.86/29.45 | | | | | | | | | | | | (10581) op(e3, e3) = e2
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10581), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | (10582) all_56_1 = e2 & op(e3, e2) = e2
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | ALPHA: (10582) implies:
% 189.86/29.45 | | | | | | | | | | | | (10583) all_56_1 = e2
% 189.86/29.45 | | | | | | | | | | | | (10584) op(e3, e2) = e2
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.86/29.45 | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | (10585) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.86/29.45 | | | | | | | | | | | | | & op(e2, e3) = e2)
% 189.86/29.45 | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | BETA: splitting (10585) gives:
% 189.86/29.45 | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | (10586) all_56_0 = e2 & op(e3, e3) = e2
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | ALPHA: (10586) implies:
% 189.86/29.45 | | | | | | | | | | | | | | (10587) op(e3, e3) = e2
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10587), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | (10588) all_56_2 = e2 & op(e2, e3) = e2
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | ALPHA: (10588) implies:
% 189.86/29.45 | | | | | | | | | | | | | | (10589) op(e2, e3) = e2
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 189.86/29.45 | | | | | | | | | | | | | | e3, e2, simplifying with (167), (10589) gives:
% 189.86/29.45 | | | | | | | | | | | | | | (10590) all_52_1 = e2
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 189.86/29.45 | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10584) gives:
% 189.86/29.45 | | | | | | | | | | | | | | (10591) all_52_4 = e2
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (148), (10590) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10592) ~ (all_52_3 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (146), (10590) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10593) ~ (all_52_9 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (145), (10590) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10594) ~ (all_52_13 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | SIMP: (10594) implies:
% 189.86/29.45 | | | | | | | | | | | | | | (10595) ~ (all_52_13 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (135), (10591) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10596) ~ (all_52_7 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | SIMP: (10596) implies:
% 189.86/29.45 | | | | | | | | | | | | | | (10597) ~ (all_52_7 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (134), (10591) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10598) ~ (all_52_8 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (133), (10591) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10599) ~ (all_52_12 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | REDUCE: (352), (10591) imply:
% 189.86/29.45 | | | | | | | | | | | | | | (10600) ~ (all_4_2 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | SIMP: (10600) implies:
% 189.86/29.45 | | | | | | | | | | | | | | (10601) ~ (all_4_2 = e2)
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.86/29.45 | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | (10602) all_54_5 = e3
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10602) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | (10603) all_4_2 = e3
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | REDUCE: (373), (10603) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | (10604) $false
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | CLOSE: (10604) is inconsistent.
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | (10605) ~ (all_54_5 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | (10606) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | BETA: splitting (10606) gives:
% 189.86/29.45 | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | (10607) all_54_5 = e2
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10607) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | (10608) all_4_2 = e2
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | REDUCE: (10601), (10608) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | (10609) $false
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | CLOSE: (10609) is inconsistent.
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | (10610) ~ (all_54_5 = e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | (10611) all_54_5 = e1 | all_54_5 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | BETA: splitting (10611) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10612) all_54_5 = e1
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10612) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10613) all_4_2 = e1
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | REDUCE: (9869), (10613) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10614) $false
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | CLOSE: (10614) is inconsistent.
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10615) all_54_5 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10615) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10616) all_4_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (10616) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10617) all_36_2 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | REDUCE: (358), (10616) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10618) ~ (all_52_9 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | REDUCE: (360), (10616) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10619) ~ (all_52_13 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | REDUCE: (373), (10616) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10620) ~ (e3 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | REDUCE: (10601), (10616) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10621) ~ (e2 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | REDUCE: (9869), (10616) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10622) ~ (e1 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | REDUCE: (36), (10616) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | (10623) op(e2, e2) = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10624) ~ (all_36_2 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | REDUCE: (10617), (10624) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10625) $false
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | CLOSE: (10625) is inconsistent.
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | (10626) ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.86/29.45 | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10627) all_54_2 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10627) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10628) all_52_8 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | SIMP: (10628) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10629) all_52_8 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10629) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10630) ~ (all_52_9 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | SIMP: (10630) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10631) ~ (all_52_9 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10629) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10632) ~ (all_52_11 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | SIMP: (10632) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10633) ~ (all_52_11 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10629) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10634) ~ (all_52_12 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | SIMP: (10634) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10635) ~ (all_52_12 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | REDUCE: (169), (10629) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | (10636) op(e3, e1) = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10637) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10318), (10584), (10637),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | #513.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | (10638) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10638) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10639) all_56_4 = e3 & op(e3, e1) = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10639) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | (10640) all_56_4 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | (10641) all_54_3 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10635), (10641) are inconsistent by
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | (10642) ~ (all_54_3 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | (10643) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | (10644) all_54_6 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10631), (10644) are inconsistent by
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | (10645) ~ (all_54_6 = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | (10646) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10643) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | (10647) all_54_3 = e2
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10576), (10647) are inconsistent by
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1689.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | (10648) ~ (all_54_3 = e2)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | (10649) all_54_3 = e1 | all_54_3 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10649) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10650) all_54_3 = e1
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10316), (10650) are inconsistent by
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1688.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10651) all_54_3 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10651) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10652) all_52_12 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10652) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_52_12 = e0
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10653) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10654) ~ (all_52_13 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10653) imply:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10655) ~ (all_52_14 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10655) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10656) ~ (all_52_14 = e0)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10589), (10657),
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | #512.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10658) gives:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) all_56_5 = e3 & op(e2, e1) = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10659) implies:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) op(e2, e1) = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10631), (10660), (function-axioms) are
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) all_56_10 = e3 & op(e2, e0) = e3
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10661) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) all_56_10 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318), (10623), (10663), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1843.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10664) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) all_56_5 = e1 & op(e2, e1) = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10665) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) all_56_5 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) op(e2, e1) = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10646) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) all_54_6 = e2
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (10668) are inconsistent by
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1467.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) ~ (all_54_6 = e2)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) all_54_6 = e1 | all_54_6 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10671) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) all_56_6 = e0 & op(e1, e3) = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10672) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) all_56_6 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10674) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) all_56_0 = e3 & op(e3, e3) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10675) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) op(e3, e3) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10318), (10676), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) all_56_2 = e3 & op(e2, e3) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10677) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) all_56_2 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (10662), (10666), (10667), (10678),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10679) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_56_6 = e3 & op(e1, e3) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (164), (223),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (10595), (10623), (10662), (10666),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667), (10673), (10680), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #511.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) all_56_12 = e3 & op(e0, e3) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10681) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) all_56_12 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10670) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) all_54_6 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (10683) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) all_52_9 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10684) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) all_52_9 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10685) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) ~ (all_52_11 = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10686) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) ~ (all_52_11 = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10685) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) ~ (all_52_13 = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10688) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) ~ (all_52_13 = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) all_54_7 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10690) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) all_52_13 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10691) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) all_52_13 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (10692) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) ~ (all_52_14 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10693) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10694) ~ (all_52_14 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (10692) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10695) op(e2, e0) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10696) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10696) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) all_56_6 = e3 & op(e1, e3) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (164), (223),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (373), (10595), (10623), (10662), (10666),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667), (10673), (10697), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #511.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) all_56_7 = e3 & op(e1, e2) = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10698) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) all_56_7 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) all_54_14 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10700) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) all_52_11 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10633), (10701) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) $false
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10702) is inconsistent.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10314), (10623), (10704),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10705) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) all_56_7 = e1 & op(e1, e2) = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10706) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) all_56_7 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10699), (10707) are inconsistent by
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1907.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) all_56_13 = e1 & op(e0, e2) = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10708) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709) all_56_13 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10626) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10710) ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10710) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10711) op(e2, e0) = all_36_1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10712) all_56_15 = e0 & op(e0, e0) = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10712) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10713) op(e0, e0) = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10578), (10713), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10714) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10714) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10703) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10716) all_54_14 = e2
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (10716) are inconsistent by
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10717) ~ (all_54_14 = e2)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718) all_54_14 = e1 | all_54_14 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10718) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10719) all_54_14 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10687), (10719) are inconsistent by
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1739.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10720) all_54_14 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10720) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10721) all_52_11 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10721) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10722) all_52_11 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10722) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10723) ~ (all_52_3 = e0)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (10722) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10724) ~ (all_52_7 = e0)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725) all_54_12 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10725) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10726) all_52_3 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10726) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10727) all_52_3 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10727) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10728) ~ (all_52_2 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10727) imply:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10729) ~ (all_52_7 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10729) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10730) ~ (all_52_7 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10731) all_54_13 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10730), (10731) are inconsistent by
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1445.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10732) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10732) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10733) all_54_13 = e2
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10597), (10733) are inconsistent by
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1444.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734) all_54_13 = e1 | all_54_13 = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10735) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10735) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10736) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10736) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10737) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10584), (10737),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #535.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10738) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10312), (10728), (10738),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #510.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10739) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10739) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10740) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10740) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10741) all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10741) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10742) op(e3, e3) = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10742), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10743) all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1)))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10743) implies:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744) op(e0, e3) = e0
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (118), (139), (157), (159), (207),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (10313), (10578), (10618), (10670),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682), (10715), (10744), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1450.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10745) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (128), (162), (248), (10623), (10724),
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734), (10745), (function-axioms) are
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #508.
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10746) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10746) gives:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10747) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (160), (164), (10619), (10656),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687), (10695), (10711), (10747),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #587.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10748) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10748) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10749) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10749) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10750) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10750) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751) op(e3, e3) = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10318), (10751), (function-axioms) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10752) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10752) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753) op(e2, e2) = e2
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (10583), (10699), (10709),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753), (function-axioms) are inconsistent by
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10754) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10578), (10754),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #531.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10755) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (10313), (10575), (10723), (10755) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #707.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10756) ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10695), (10756), (function-axioms) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1708.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10757) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10694), (10757),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #507.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10758) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10595), (10619), (10689), (10758) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10759) all_54_6 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10618), (10759) are inconsistent by
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) all_56_7 = e0 & op(e1, e2) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10760) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) all_56_7 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (373), (10314), (10623), (10761),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1240.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10762) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) all_56_8 = e0 & op(e1, e1) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10763) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) op(e1, e1) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (207), (209), (218), (219), (220),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10313), (10315), (10578), (10640), (10667),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764), (function-axioms) are inconsistent by
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1403.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_56_11 = e0 & op(e1, e0) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) op(e1, e0) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10656), (10766), (function-axioms) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) all_56_10 = e1 & op(e2, e0) = e1
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10662), (10767) are inconsistent by
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1539.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | (10768) all_56_9 = e3 & op(e3, e0) = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10768) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | (10769) op(e3, e0) = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (10636), (10769),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | #1912.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | (10770) ~ (all_54_2 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | (10771) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | REDUCE: (271), (10770) imply:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | (10772) ~ (all_52_8 = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | (10773) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10318), (10584), (10773),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | #513.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | (10774) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10774) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | (10775) all_56_4 = e3 & op(e3, e1) = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10775) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | (10776) op(e3, e1) = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10772), (10776), (function-axioms) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | (10777) all_56_9 = e3 & op(e3, e0) = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10777) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | (10778) op(e3, e0) = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | (10779) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10779) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | (10780) all_56_0 = e0 & op(e3, e3) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10780) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | (10781) op(e3, e3) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10781), (function-axioms) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | (10782) all_56_1 = e0 & op(e3, e2) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10782) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | (10783) all_56_1 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | (10784) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10314), (10623), (10784),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | (10785) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10785) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_56_7 = e1 & op(e1, e2) = e1
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10786) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10787) all_56_7 = e1
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (373), (10623), (10783), (10787),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10788) all_56_13 = e1 & op(e0, e2) = e1
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10788) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10789) all_56_13 = e1
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (120), (168),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (226), (227), (228), (234), (236),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (373), (10314), (10318), (10623), (10783),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10789), (function-axioms) are inconsistent by
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1900.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | (10790) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10790) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | (10791) all_56_4 = e0 & op(e3, e1) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10791) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | (10792) all_56_4 = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | (10793) all_56_15 = e0 & op(e0, e0) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10793) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | (10794) op(e0, e0) = e0
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10578), (10794), (function-axioms) are
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1945.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | (10795) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10795) implies:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | (10796) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10797) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10797) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10798) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10798) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10799) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10584), (10799),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | #535.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10800) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (163), (168), (169), (10312), (10778),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10800), (function-axioms) are inconsistent by
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1482.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10801) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10801) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10802) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (10318), (10778), (10802),
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | #506.
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10803) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10803) gives:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10804) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10804) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10805) op(e2, e2) = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10623), (10805), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10806) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10806) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10807) op(e2, e1) = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10771) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10808) all_54_2 = e2
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9858), (10808) are inconsistent by
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1761.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10809) ~ (all_54_2 = e2)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10810) all_54_2 = e1 | all_54_2 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10810) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10811) all_54_2 = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10315), (10811) are inconsistent by
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1760.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10812) all_54_2 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10812) imply:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10813) all_52_8 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10813) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10814) all_52_8 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10814) imply:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10815) ~ (all_52_12 = e0)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10815) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10816) ~ (all_52_12 = e0)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10796) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10817) all_56_9 = e0 & op(e3, e0) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10817) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10818) op(e3, e0) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10816), (10818), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1799.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10819) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10819) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10820) all_56_10 = e0 & op(e2, e0) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10820) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10821) all_56_10 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (373), (10318),
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595), (10623), (10821), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1410.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10822) all_56_11 = e0 & op(e1, e0) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10822) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823) op(e1, e0) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10824) all_54_3 = e3
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10824) imply:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10825) all_52_12 = e3
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10825) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10826) all_52_12 = e3
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10826) imply:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10827) ~ (all_52_13 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10827) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10828) ~ (all_52_13 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10829) all_54_7 = e3
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10828), (10829) are inconsistent by
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10830) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10830) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10831) all_54_7 = e2
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10595), (10831) are inconsistent by
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1483.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10832) all_54_7 = e1 | all_54_7 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10832) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10833) all_54_7 = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10833) imply:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10834) all_52_13 = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10834) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10835) all_52_13 = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10835) imply:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10836) ~ (all_52_9 = e1)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10807), (10836), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10837) all_54_7 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10619), (10837) are inconsistent by
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1477.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10838) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (10316), (10576), (10823),
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10838), (function-axioms) are inconsistent by
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (10839) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10839) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (10840) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10840) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10841) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10595), (10619), (10841),
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1172.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10842) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10842) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10843) all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10843) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10844) op(e1, e1) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10792), (10844), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1809.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10845) all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7)))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10845) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10846) op(e0, e0) = e1
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10578), (10846), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1780.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (10847) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10847) gives:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10848) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (10318), (10623), (10848),
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1170.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10849) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10578), (10849),
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #531.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | (10850) all_56_9 = e0 & op(e3, e0) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10850) implies:
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | (10851) op(e3, e0) = e0
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10778), (10851), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1793.
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | (10852) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.86/29.48 | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | BETA: splitting (10852) gives:
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | (10853) all_56_6 = e2 & op(e1, e3) = e2
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10853), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | (10854) all_56_12 = e2 & op(e0, e3) = e2
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | REF_CLOSE: (159), (10575), (10854), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | inconsistent by sub-proof #528.
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | (10855) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.86/29.48 | | | | | | | | | | | & op(e3, e0) = e2)
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | BETA: splitting (10855) gives:
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | (10856) all_56_4 = e2 & op(e3, e1) = e2
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10856), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | inconsistent by sub-proof #810.
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | (10857) all_56_9 = e2 & op(e3, e0) = e2
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | REF_CLOSE: (168), (10576), (10857), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | |
% 189.86/29.48 | | | | | | | | End of split
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | (10858) all_24_2 = e1
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | COMBINE_EQS: (318), (10858) imply:
% 189.86/29.48 | | | | | | | | (10859) all_4_2 = e1
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | REDUCE: (352), (10859) imply:
% 189.86/29.48 | | | | | | | | (10860) ~ (all_52_4 = e1)
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | REDUCE: (354), (10859) imply:
% 189.86/29.48 | | | | | | | | (10861) ~ (all_52_6 = e1)
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | REDUCE: (356), (10859) imply:
% 189.86/29.48 | | | | | | | | (10862) ~ (all_52_7 = e1)
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | REDUCE: (360), (10859) imply:
% 189.86/29.48 | | | | | | | | (10863) ~ (all_52_13 = e1)
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | REDUCE: (373), (10859) imply:
% 189.86/29.48 | | | | | | | | (10864) ~ (e3 = e1)
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | REDUCE: (36), (10859) imply:
% 189.86/29.48 | | | | | | | | (10865) op(e2, e2) = e1
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | BETA: splitting (70) gives:
% 189.86/29.48 | | | | | | | |
% 189.86/29.48 | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | |
% 189.86/29.48 | | | | | | | | | (10866) ~ (all_26_2 = e1)
% 189.86/29.48 | | | | | | | | |
% 189.86/29.48 | | | | | | | | | REDUCE: (307), (10866) imply:
% 189.86/29.48 | | | | | | | | | (10867) ~ (all_6_2 = e1)
% 189.86/29.48 | | | | | | | | |
% 189.86/29.48 | | | | | | | | | BETA: splitting (204) gives:
% 189.86/29.48 | | | | | | | | |
% 189.86/29.48 | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | (10868) all_54_0 = e3
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | COMBINE_EQS: (279), (10868) imply:
% 189.86/29.48 | | | | | | | | | | (10869) all_6_2 = e3
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | SIMP: (10869) implies:
% 189.86/29.48 | | | | | | | | | | (10870) all_6_2 = e3
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | REDUCE: (344), (10870) imply:
% 189.86/29.48 | | | | | | | | | | (10871) ~ (all_52_4 = e3)
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | REDUCE: (346), (10870) imply:
% 189.86/29.48 | | | | | | | | | | (10872) ~ (all_52_8 = e3)
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | REDUCE: (348), (10870) imply:
% 189.86/29.48 | | | | | | | | | | (10873) ~ (all_52_12 = e3)
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | REDUCE: (39), (10870) imply:
% 189.86/29.48 | | | | | | | | | | (10874) op(e3, e3) = e3
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | BETA: splitting (238) gives:
% 189.86/29.48 | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | (10875) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.86/29.48 | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48 | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.48 | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.86/29.48 | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48 | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.48 | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.86/29.48 | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.48 | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.48 | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.48 | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.48 | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.86/29.48 | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48 | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.48 | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.86/29.48 | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.86/29.48 | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.86/29.48 | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.86/29.48 | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.86/29.48 | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.86/29.48 | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.48 | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.86/29.48 | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.86/29.48 | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.86/29.48 | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.86/29.48 | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.86/29.48 | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48 | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.86/29.48 | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.86/29.48 | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.86/29.48 | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.86/29.48 | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.86/29.48 | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.86/29.48 | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.48 | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.48 | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | BETA: splitting (10875) gives:
% 189.86/29.48 | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | (10876) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.86/29.48 | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48 | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.48 | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.86/29.48 | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48 | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.48 | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.86/29.48 | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.48 | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.48 | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.48 | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.48 | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.86/29.48 | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48 | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.48 | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | BETA: splitting (10876) gives:
% 189.86/29.48 | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | (10877) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.86/29.48 | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48 | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.48 | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.86/29.48 | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48 | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | BETA: splitting (10877) gives:
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | Case 1:
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | (10878) all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.86/29.48 | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48 | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 189.86/29.48 | | | | | | | | | | | | | | (10879) op(e1, e1) = e3
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10879), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | (10880) all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.86/29.48 | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48 | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | ALPHA: (10880) implies:
% 189.86/29.48 | | | | | | | | | | | | | | (10881) op(e0, e0) = e3
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | | REF_CLOSE: (51), (9867), (10881), (function-axioms) are
% 189.86/29.48 | | | | | | | | | | | | | | inconsistent by sub-proof #1977.
% 189.86/29.48 | | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | End of split
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | Case 2:
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | (10882) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.86/29.48 | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.48 | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.48 | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.48 | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.48 | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.86/29.48 | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48 | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.48 | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | | REF_CLOSE: (8), (51), (9867), (10865), (10882),
% 189.86/29.48 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.48 | | | | | | | | | | | | | #1352.
% 189.86/29.48 | | | | | | | | | | | | |
% 189.86/29.48 | | | | | | | | | | | | End of split
% 189.86/29.49 | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | Case 2:
% 189.86/29.49 | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | (10883) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.86/29.49 | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.49 | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.49 | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.49 | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.49 | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.86/29.49 | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.49 | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.49 | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.86/29.49 | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.86/29.49 | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.86/29.49 | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.86/29.49 | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.86/29.49 | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.86/29.49 | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.86/29.49 | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.86/29.49 | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.86/29.49 | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.86/29.49 | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.49 | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.86/29.49 | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.86/29.49 | | | | | | | | | | | | $i(all_57_10))
% 189.86/29.49 | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | BETA: splitting (10883) gives:
% 189.86/29.49 | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | Case 1:
% 189.86/29.49 | | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | | (10884) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.86/29.49 | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.49 | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.49 | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.49 | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.49 | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.86/29.49 | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.49 | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.49 | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 189.86/29.49 | | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | | REF_CLOSE: (170), (10871), (10884), (function-axioms) are
% 189.86/29.49 | | | | | | | | | | | | | inconsistent by sub-proof #1971.
% 189.86/29.49 | | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | Case 2:
% 189.86/29.49 | | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | | (10885) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 189.86/29.49 | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.86/29.49 | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.86/29.49 | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 189.86/29.49 | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.86/29.49 | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 189.86/29.49 | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.49 | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.49 | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.86/29.49 | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.86/29.49 | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.49 | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.49 | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.86/29.49 | | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | | REF_CLOSE: (162), (169), (10861), (10872), (10885),
% 189.86/29.49 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.86/29.49 | | | | | | | | | | | | | #1677.
% 189.86/29.49 | | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | | End of split
% 189.86/29.49 | | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | End of split
% 189.86/29.49 | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | Case 2:
% 189.86/29.49 | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | (10886) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.86/29.49 | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.49 | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.49 | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.49 | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.49 | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.86/29.49 | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.49 | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.49 | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.86/29.49 | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.86/29.49 | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.86/29.49 | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.86/29.49 | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.86/29.49 | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.86/29.49 | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.86/29.49 | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.86/29.49 | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.86/29.49 | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.86/29.49 | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.86/29.49 | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.49 | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.49 | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.86/29.49 | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.86/29.49 | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.86/29.49 | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.86/29.49 | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.86/29.49 | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.86/29.49 | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.86/29.49 | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.86/29.49 | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.86/29.49 | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.86/29.49 | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.49 | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.49 | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.49 | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.86/29.49 | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.86/29.49 | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.49 | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.86/29.49 | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.86/29.49 | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.86/29.49 | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.86/29.49 | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.86/29.49 | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.49 | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.49 | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.86/29.49 | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.49 | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.49 | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.86/29.49 | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.49 | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.49 | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.49 | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.86/29.49 | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.49 | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.49 | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.86/29.49 | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.49 | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.49 | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.49 | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.86/29.49 | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.49 | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.49 | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | BETA: splitting (10886) gives:
% 189.86/29.49 | | | | | | | | | | |
% 189.86/29.49 | | | | | | | | | | | Case 1:
% 189.86/29.49 | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | (10887) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.94/29.49 | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.49 | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.49 | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.49 | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.49 | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.94/29.49 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.49 | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.49 | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.94/29.49 | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.94/29.49 | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.94/29.49 | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.94/29.49 | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.94/29.49 | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.94/29.49 | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.49 | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.49 | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.49 | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.49 | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.94/29.49 | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.49 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.49 | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.94/29.49 | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | REF_CLOSE: (8), (51), (168), (9865), (10873), (10874),
% 189.94/29.49 | | | | | | | | | | | | (10887), (function-axioms) are inconsistent by
% 189.94/29.49 | | | | | | | | | | | | sub-proof #1962.
% 189.94/29.49 | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | (10888) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.94/29.49 | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.49 | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.49 | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.49 | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.94/29.49 | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.49 | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.49 | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.49 | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.94/29.49 | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.94/29.49 | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.94/29.49 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.49 | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.94/29.49 | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.94/29.49 | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.94/29.49 | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.94/29.49 | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.94/29.49 | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.49 | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.94/29.49 | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49 | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.94/29.49 | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.94/29.49 | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.49 | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.49 | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.94/29.49 | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.49 | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.49 | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.49 | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.49 | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.49 | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.94/29.49 | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.49 | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.49 | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.49 | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.49 | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.49 | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | BETA: splitting (10888) gives:
% 189.94/29.49 | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | (10889) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.94/29.49 | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.49 | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.49 | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.94/29.49 | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.49 | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.49 | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.49 | | | | | | | | | | | | | $i(all_57_14))
% 189.94/29.49 | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | REF_CLOSE: (7), (10874), (10889), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | inconsistent by sub-proof #1960.
% 189.94/29.49 | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | (10890) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.94/29.49 | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.49 | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.49 | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.94/29.49 | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.94/29.49 | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.49 | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.94/29.49 | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.94/29.49 | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.94/29.49 | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.94/29.49 | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.94/29.49 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.49 | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.49 | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.49 | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.94/29.49 | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.49 | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.49 | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.49 | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.49 | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.49 | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.94/29.49 | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.49 | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.49 | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.49 | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.49 | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.49 | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | BETA: splitting (10890) gives:
% 189.94/29.49 | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | (10891) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.94/29.49 | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.49 | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.49 | | | | | | | | | | | | | | $i(all_57_13)
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | ALPHA: (10891) implies:
% 189.94/29.49 | | | | | | | | | | | | | | (10892) op(e1, e1) = e0
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (10892), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | inconsistent by sub-proof #1821.
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | (10893) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.94/29.49 | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.94/29.49 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.94/29.49 | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.94/29.49 | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.94/29.49 | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.94/29.49 | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.94/29.49 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.94/29.49 | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.94/29.49 | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.94/29.49 | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.94/29.49 | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.94/29.49 | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.49 | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.94/29.49 | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49 | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.94/29.49 | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.94/29.49 | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.94/29.49 | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.94/29.49 | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.94/29.49 | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.94/29.49 | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.94/29.49 | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.94/29.49 | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | BETA: splitting (10893) gives:
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | (10894) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.94/29.49 | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.94/29.49 | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | ALPHA: (10894) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | (10895) op(e2, e2) = e0
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | REF_CLOSE: (4), (10865), (10895), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | (10896) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.49 | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.49 | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49 | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.49 | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.94/29.49 | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.94/29.49 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.94/29.49 | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.94/29.49 | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.94/29.49 | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.94/29.49 | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.94/29.49 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.94/29.49 | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.94/29.49 | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.94/29.49 | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.94/29.49 | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.94/29.49 | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.94/29.49 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | ALPHA: (10896) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | (10897) op(e0, e0) = all_57_15
% 189.94/29.49 | | | | | | | | | | | | | | | (10898) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.49 | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49 | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.49 | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.94/29.49 | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.49 | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.94/29.49 | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.49 | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.49 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.49 | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49 | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.49 | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.94/29.49 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.49 | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.94/29.49 | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.49 | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 189.94/29.49 | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (51), (10897)
% 189.94/29.49 | | | | | | | | | | | | | | | gives:
% 189.94/29.49 | | | | | | | | | | | | | | | (10899) all_57_15 = all_14_2
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | (10900) ~ (all_28_2 = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | REDUCE: (330), (10900) imply:
% 189.94/29.49 | | | | | | | | | | | | | | | | (10901) ~ (all_14_2 = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | (10902) all_54_15 = e3
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9867), (10902) are inconsistent by
% 189.94/29.49 | | | | | | | | | | | | | | | | | sub-proof #1675.
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | (10903) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (158), (159), (246), (351), (362),
% 189.94/29.49 | | | | | | | | | | | | | | | | | (369), (9865), (10865), (10874), (10898), (10901),
% 189.94/29.49 | | | | | | | | | | | | | | | | | (10903), (function-axioms) are inconsistent by
% 189.94/29.49 | | | | | | | | | | | | | | | | | sub-proof #505.
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | (10904) all_28_2 = e2
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (10904) imply:
% 189.94/29.49 | | | | | | | | | | | | | | | | (10905) all_14_2 = e2
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | SIMP: (10905) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | (10906) all_14_2 = e2
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | REDUCE: (351), (10906) imply:
% 189.94/29.49 | | | | | | | | | | | | | | | | (10907) ~ (all_52_3 = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | REDUCE: (370), (10906) imply:
% 189.94/29.49 | | | | | | | | | | | | | | | | (10908) ~ (all_52_12 = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | REDUCE: (9867), (10906) imply:
% 189.94/29.49 | | | | | | | | | | | | | | | | (10909) ~ (e3 = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | REDUCE: (51), (10906) imply:
% 189.94/29.49 | | | | | | | | | | | | | | | | (10910) op(e0, e0) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | (10911) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | BETA: splitting (10911) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | (10912) all_56_0 = e2 & op(e3, e3) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | ALPHA: (10912) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | (10913) op(e3, e3) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10874), (10913), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | (10914) all_56_1 = e2 & op(e3, e2) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | ALPHA: (10914) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | (10915) op(e3, e2) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | (10916) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (10916) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | (10917) all_56_0 = e2 & op(e3, e3) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | ALPHA: (10917) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | (10918) op(e3, e3) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10874), (10918), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | (10919) all_56_2 = e2 & op(e2, e3) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | ALPHA: (10919) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | (10920) all_56_2 = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10898) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | (10921) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9862), (10865), (10897), (10910),
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | (10921), (function-axioms) are inconsistent by
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | sub-proof #504.
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | (10922) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10922) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | (10923) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10923) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | (10924) ~ (all_57_15 = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10897), (10910), (10924), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #748.
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | (10925) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10925) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (10926) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10926) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (10927) op(e3, e3) = e1
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10874), (10927), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (10928) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10928) implies:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (10929) ~ (all_57_15 = e1)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (10930) op(e0, e1) = e0
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (120), (121), (125), (128), (134), (135),
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (157), (162), (164), (168), (170), (191), (202),
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (210), (216), (229), (231), (248), (271), (9860),
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (9862), (10860), (10862), (10863), (10872),
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (10874), (10897), (10915), (10920), (10929),
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | (10930), (function-axioms) are inconsistent by
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #498.
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | (10931) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (10931) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | (10932) all_56_6 = e2 & op(e1, e3) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10932), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | (10933) all_56_12 = e2 & op(e0, e3) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10907), (10933), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #528.
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | (10934) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | BETA: splitting (10934) gives:
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | (10935) all_56_4 = e2 & op(e3, e1) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10935), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | (10936) all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10908), (10936), (function-axioms) are
% 189.94/29.49 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.94/29.49 | | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | (10937) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 189.94/29.49 | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (10867), (10937) are
% 189.94/29.49 | | | | | | | | | | inconsistent by sub-proof #1952.
% 189.94/29.49 | | | | | | | | | |
% 189.94/29.49 | | | | | | | | | End of split
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | Case 2:
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | | (10938) all_26_2 = e1
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | | COMBINE_EQS: (307), (10938) imply:
% 189.94/29.49 | | | | | | | | | (10939) all_6_2 = e1
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | | SIMP: (10939) implies:
% 189.94/29.49 | | | | | | | | | (10940) all_6_2 = e1
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | | REDUCE: (348), (10940) imply:
% 189.94/29.49 | | | | | | | | | (10941) ~ (all_52_12 = e1)
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | | REDUCE: (39), (10940) imply:
% 189.94/29.49 | | | | | | | | | (10942) op(e3, e3) = e1
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (51), (73), (120), (125),
% 189.94/29.49 | | | | | | | | | (126), (134), (139), (141), (145), (157), (158),
% 189.94/29.49 | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 189.94/29.49 | | | | | | | | | (168), (169), (170), (189), (210), (233), (234),
% 189.94/29.49 | | | | | | | | | (238), (239), (246), (330), (351), (362), (370),
% 189.94/29.49 | | | | | | | | | (372), (9856), (9858), (9859), (9861), (9862),
% 189.94/29.49 | | | | | | | | | (9865), (9867), (10860), (10863), (10865), (10941),
% 189.94/29.49 | | | | | | | | | (10942), (function-axioms) are inconsistent by
% 189.94/29.49 | | | | | | | | | sub-proof #490.
% 189.94/29.49 | | | | | | | | |
% 189.94/29.49 | | | | | | | | End of split
% 189.94/29.49 | | | | | | | |
% 189.94/29.49 | | | | | | | End of split
% 189.94/29.49 | | | | | | |
% 189.94/29.49 | | | | | | Case 2:
% 189.94/29.49 | | | | | | |
% 189.94/29.49 | | | | | | | (10943) all_18_2 = e3
% 189.94/29.50 | | | | | | | (10944) ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 189.94/29.50 | | | | | | | op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1))
% 189.94/29.50 | | | | | | | | ( ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 189.94/29.50 | | | | | | | $i(all_18_1))
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | COMBINE_EQS: (301), (10943) imply:
% 189.94/29.50 | | | | | | | (10945) all_14_2 = e3
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | SIMP: (10945) implies:
% 189.94/29.50 | | | | | | | (10946) all_14_2 = e3
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | COMBINE_EQS: (299), (10946) imply:
% 189.94/29.50 | | | | | | | (10947) all_48_2 = e3
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | REDUCE: (362), (10946) imply:
% 189.94/29.50 | | | | | | | (10948) ~ (all_52_7 = e3)
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | REDUCE: (369), (10946) imply:
% 189.94/29.50 | | | | | | | (10949) ~ (all_52_11 = e3)
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | REDUCE: (370), (10946) imply:
% 189.94/29.50 | | | | | | | (10950) ~ (all_52_12 = e3)
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | REDUCE: (371), (10946) imply:
% 189.94/29.50 | | | | | | | (10951) ~ (all_52_13 = e3)
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | REDUCE: (372), (10946) imply:
% 189.94/29.50 | | | | | | | (10952) ~ (all_52_14 = e3)
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | BETA: splitting (212) gives:
% 189.94/29.50 | | | | | | |
% 189.94/29.50 | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | |
% 189.94/29.50 | | | | | | | | (10953) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 189.94/29.50 | | | | | | | | op(e2, e0) = e3)
% 189.94/29.50 | | | | | | | |
% 189.94/29.50 | | | | | | | | REF_CLOSE: (164), (168), (10950), (10951), (10953),
% 189.94/29.50 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.50 | | | | | | | | #1118.
% 189.94/29.50 | | | | | | | |
% 189.94/29.50 | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | |
% 189.94/29.50 | | | | | | | | (10954) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3
% 189.94/29.50 | | | | | | | | & op(e0, e0) = e3)
% 189.94/29.50 | | | | | | | |
% 189.94/29.50 | | | | | | | | BETA: splitting (10954) gives:
% 189.94/29.50 | | | | | | | |
% 189.94/29.50 | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | |
% 189.94/29.50 | | | | | | | | | (10955) all_56_11 = e3 & op(e1, e0) = e3
% 189.94/29.50 | | | | | | | | |
% 189.94/29.50 | | | | | | | | | REF_CLOSE: (160), (10952), (10955), (function-axioms) are
% 189.94/29.50 | | | | | | | | | inconsistent by sub-proof #1407.
% 189.94/29.50 | | | | | | | | |
% 189.94/29.50 | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | |
% 189.94/29.50 | | | | | | | | | (10956) all_56_15 = e3 & op(e0, e0) = e3
% 189.94/29.50 | | | | | | | | |
% 189.94/29.50 | | | | | | | | | ALPHA: (10956) implies:
% 189.94/29.50 | | | | | | | | | (10957) all_56_15 = e3
% 189.94/29.50 | | | | | | | | | (10958) op(e0, e0) = e3
% 189.94/29.50 | | | | | | | | |
% 189.94/29.50 | | | | | | | | | BETA: splitting (67) gives:
% 189.94/29.50 | | | | | | | | |
% 189.94/29.50 | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | (10959) ~ (all_24_2 = e1)
% 189.94/29.50 | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | REDUCE: (318), (10959) imply:
% 189.94/29.50 | | | | | | | | | | (10960) ~ (all_4_2 = e1)
% 189.94/29.50 | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | BETA: splitting (70) gives:
% 189.94/29.50 | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | (10961) ~ (all_26_2 = e1)
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | REDUCE: (307), (10961) imply:
% 189.94/29.50 | | | | | | | | | | | (10962) ~ (all_6_2 = e1)
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | BETA: splitting (204) gives:
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | (10963) all_54_0 = e3
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | COMBINE_EQS: (279), (10963) imply:
% 189.94/29.50 | | | | | | | | | | | | (10964) all_6_2 = e3
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | SIMP: (10964) implies:
% 189.94/29.50 | | | | | | | | | | | | (10965) all_6_2 = e3
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | REDUCE: (340), (10965) imply:
% 189.94/29.50 | | | | | | | | | | | | (10966) ~ (all_52_2 = e3)
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | REDUCE: (342), (10965) imply:
% 189.94/29.50 | | | | | | | | | | | | (10967) ~ (all_52_3 = e3)
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | REDUCE: (39), (10965) imply:
% 189.94/29.50 | | | | | | | | | | | | (10968) op(e3, e3) = e3
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (82), (103),
% 189.94/29.50 | | | | | | | | | | | | (110), (117), (118), (120), (121), (123), (125),
% 189.94/29.50 | | | | | | | | | | | | (126), (128), (134), (136), (139), (140), (141),
% 189.94/29.50 | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 189.94/29.50 | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 189.94/29.50 | | | | | | | | | | | | (167), (168), (169), (170), (190), (197), (199),
% 189.94/29.50 | | | | | | | | | | | | (200), (202), (206), (208), (210), (211), (213),
% 189.94/29.50 | | | | | | | | | | | | (216), (221), (222), (223), (224), (226), (227),
% 189.94/29.50 | | | | | | | | | | | | (229), (231), (233), (235), (238), (239), (247),
% 189.94/29.50 | | | | | | | | | | | | (260), (268), (269), (271), (349), (356), (358),
% 189.94/29.50 | | | | | | | | | | | | (360), (373), (9855), (9858), (9859), (9860),
% 189.94/29.50 | | | | | | | | | | | | (9861), (9862), (10944), (10947), (10950),
% 189.94/29.50 | | | | | | | | | | | | (10951), (10952), (10958), (10960), (10966),
% 189.94/29.50 | | | | | | | | | | | | (10967), (10968), (function-axioms) are
% 189.94/29.50 | | | | | | | | | | | | inconsistent by sub-proof #467.
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | (10969) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (10962), (10969) are
% 189.94/29.50 | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | End of split
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | (10970) all_26_2 = e1
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | COMBINE_EQS: (307), (10970) imply:
% 189.94/29.50 | | | | | | | | | | | (10971) all_6_2 = e1
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | SIMP: (10971) implies:
% 189.94/29.50 | | | | | | | | | | | (10972) all_6_2 = e1
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | REDUCE: (338), (10972) imply:
% 189.94/29.50 | | | | | | | | | | | (10973) ~ (all_52_1 = e1)
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | REDUCE: (340), (10972) imply:
% 189.94/29.50 | | | | | | | | | | | (10974) ~ (all_52_2 = e1)
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | REDUCE: (344), (10972) imply:
% 189.94/29.50 | | | | | | | | | | | (10975) ~ (all_52_4 = e1)
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | REDUCE: (346), (10972) imply:
% 189.94/29.50 | | | | | | | | | | | (10976) ~ (all_52_8 = e1)
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | REDUCE: (348), (10972) imply:
% 189.94/29.50 | | | | | | | | | | | (10977) ~ (all_52_12 = e1)
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | REDUCE: (39), (10972) imply:
% 189.94/29.50 | | | | | | | | | | | (10978) op(e3, e3) = e1
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | BETA: splitting (79) gives:
% 189.94/29.50 | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | (10979) ~ (all_32_2 = e0)
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | REDUCE: (314), (10979) imply:
% 189.94/29.50 | | | | | | | | | | | | (10980) ~ (all_4_2 = e0)
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.94/29.50 | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | (10981) all_54_5 = e3
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | COMBINE_EQS: (268), (10981) imply:
% 189.94/29.50 | | | | | | | | | | | | | (10982) all_4_2 = e3
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | REDUCE: (373), (10982) imply:
% 189.94/29.50 | | | | | | | | | | | | | (10983) $false
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | CLOSE: (10983) is inconsistent.
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | (10984) ~ (all_54_5 = e3)
% 189.94/29.50 | | | | | | | | | | | | | (10985) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | BETA: splitting (10985) gives:
% 189.94/29.50 | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | (10986) all_54_5 = e2
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | COMBINE_EQS: (268), (10986) imply:
% 189.94/29.50 | | | | | | | | | | | | | | (10987) all_4_2 = e2
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | REDUCE: (349), (10987) imply:
% 189.94/29.50 | | | | | | | | | | | | | | (10988) ~ (all_52_1 = e2)
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | REDUCE: (356), (10987) imply:
% 189.94/29.50 | | | | | | | | | | | | | | (10989) ~ (all_52_7 = e2)
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | REDUCE: (360), (10987) imply:
% 189.94/29.50 | | | | | | | | | | | | | | (10990) ~ (all_52_13 = e2)
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | REDUCE: (373), (10987) imply:
% 189.94/29.50 | | | | | | | | | | | | | | (10991) ~ (e3 = e2)
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | REDUCE: (36), (10987) imply:
% 189.94/29.50 | | | | | | | | | | | | | | (10992) op(e2, e2) = e2
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.94/29.50 | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | (10993) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 189.94/29.50 | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (10978), (10988), (10993),
% 189.94/29.50 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.50 | | | | | | | | | | | | | | | #1469.
% 189.94/29.50 | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | (10994) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.94/29.50 | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 189.94/29.50 | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | BETA: splitting (10994) gives:
% 189.94/29.50 | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | (10995) all_56_6 = e2 & op(e1, e3) = e2
% 189.94/29.50 | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10995), (function-axioms) are
% 189.94/29.50 | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 189.94/29.50 | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | (10996) all_56_12 = e2 & op(e0, e3) = e2
% 189.94/29.50 | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | ALPHA: (10996) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | (10997) all_56_12 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | (10998) op(e0, e3) = e2
% 189.94/29.50 | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | (10999) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.94/29.50 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.94/29.50 | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | BETA: splitting (10999) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | (11000) all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | ALPHA: (11000) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | (11001) all_56_9 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | BETA: splitting (10944) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11002) ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_18_1 & $i(all_18_0) &
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | ALPHA: (11002) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11003) ~ (all_18_0 = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11004) op(e0, e3) = all_18_1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11005) op(all_18_1, e0) = all_18_0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_18_1,
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (10998), (11004) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11006) all_18_1 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | REDUCE: (11005), (11006) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11007) op(e2, e0) = all_18_0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | all_18_0, e0, e2, simplifying with (164), (11007)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11008) all_52_13 = all_18_0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11008) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11009) all_54_7 = all_18_0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11008) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11010) ~ (all_52_1 = all_18_0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11008) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11011) ~ (all_52_9 = all_18_0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | REDUCE: (110), (11008) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11012) ~ (all_52_14 = all_18_0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | SIMP: (11012) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11013) ~ (all_52_14 = all_18_0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | REDUCE: (10951), (11008) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11014) ~ (all_18_0 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | REDUCE: (10990), (11008) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | (11015) ~ (all_18_0 = e2)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | (11016) all_54_7 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11009), (11016) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | (11017) all_18_0 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (11014), (11017) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | (11018) $false
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | CLOSE: (11018) is inconsistent.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | (11019) ~ (all_54_7 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | (11020) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11020) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | (11021) all_54_7 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11009), (11021) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | (11022) all_18_0 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11015), (11022) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | (11023) $false
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11023) is inconsistent.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | (11024) ~ (all_54_7 = e2)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | (11025) all_54_7 = e1 | all_54_7 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | (11026) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | (10978), (10992), (11026), (function-axioms) are
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1447.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | (11027) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11027) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | (11028) all_56_5 = e1 & op(e2, e1) = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11028) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | (11029) all_56_5 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11025) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11030) all_54_7 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11003), (11009), (11030) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #488.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11031) all_54_7 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11009), (11031) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11032) all_18_0 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11032) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11033) all_18_0 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11010), (11033) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11034) ~ (all_52_1 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11011), (11033) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11035) ~ (all_52_9 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11013), (11033) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11036) ~ (all_52_14 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11014), (11033) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11037) ~ (e3 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11015), (11033) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11038) ~ (e2 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11003), (11033) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | (11039) ~ (e1 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | (11040) all_54_11 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (10952), (11040) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1277.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | (11041) ~ (all_54_11 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | (11042) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11043) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) all_56_2 = e3 & op(e2, e3) = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11044) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) all_56_2 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11046) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) all_56_4 = e3 & op(e3, e1) = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11047) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) all_56_4 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) op(e3, e1) = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11042) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) all_54_11 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9861), (11050) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) ~ (all_54_11 = e2)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) all_54_11 = e1 | all_54_11 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11053) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) all_56_6 = e3 & op(e1, e3) = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11054) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) all_56_6 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045), (11055), (function-axioms) are
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) all_56_7 = e3 & op(e1, e2) = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11056) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) all_56_7 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11058) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) all_56_0 = e0 & op(e3, e3) = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11059) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) op(e3, e3) = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10978), (11060), (function-axioms) are
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) all_56_1 = e0 & op(e3, e2) = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11061) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11062) all_56_1 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11063) all_54_4 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11063) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11064) all_52_1 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11064) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065) ~ (all_52_2 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11065) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11066) ~ (all_52_2 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11064) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11067) ~ (all_52_9 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11067) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11068) ~ (all_52_9 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (11064) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11069) op(e2, e3) = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11070) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (10975), (10992), (11070),
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1766.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11071) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11071) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11072) all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11045), (11057), (11072),
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11073) all_56_13 = e1 & op(e0, e2) = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11073) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11074) all_56_13 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11075) all_54_6 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11068), (11075) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1468.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11076) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11077) all_54_8 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11066), (11077) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11078) ~ (all_54_8 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11079) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11076) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11080) all_54_6 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (11080) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1467.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11081) all_54_6 = e1 | all_54_6 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11081) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11082) all_54_6 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11082) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11083) all_52_9 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11083) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11084) all_52_9 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11084) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11085) ~ (all_52_11 = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11085) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11086) ~ (all_52_11 = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11079) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11087) all_54_8 = e2
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9856), (11087) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11088) all_54_8 = e1 | all_54_8 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11052) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11089) all_54_11 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11089) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11090) all_52_14 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11090) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11091) all_52_14 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11091) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11092) ~ (all_52_6 = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (11091) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11093) ~ (e2 = e1)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (11091) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11094) op(e1, e0) = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11088) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11095) all_54_8 = e1
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (10974), (11095) are inconsistent by
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1367.
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11096) all_54_8 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (11096) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11097) all_52_2 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11097) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11098) all_52_2 = e0
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11098) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11099) ~ (all_52_6 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11099) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11100) ~ (all_52_6 = e0)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11101) all_54_9 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11101) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11102) all_52_6 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11102) implies:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11103) all_52_6 = e3
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11103) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11104) ~ (all_52_4 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11103) imply:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11105) ~ (all_52_7 = e3)
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11106) all_54_14 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10949), (11106) are inconsistent by
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1260.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11107) ~ (all_54_14 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11108) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11108) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11109) all_54_14 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (11109) are inconsistent by
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11110) ~ (all_54_14 = e2)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11111) all_54_14 = e1 | all_54_14 = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11111) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11112) all_54_14 = e1
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11086), (11112) are inconsistent by
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1739.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11113) all_54_14 = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11113) imply:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11114) all_52_11 = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11114) implies:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11115) all_52_11 = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11115) imply:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11116) ~ (all_52_7 = e0)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (11115) imply:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11117) op(e0, e1) = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11118) all_54_13 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10948), (11118) are inconsistent by
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1445.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11119) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11119) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11120) all_54_13 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10989), (11120) are inconsistent by
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1444.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11121) all_54_13 = e1 | all_54_13 = e0
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11122) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11122) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11123) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11123) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11124) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (11104), (11124),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1530.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11125) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11066), (11125),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #510.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11126) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11126) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11127) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (139), (157), (159), (10978), (11117),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11127), (function-axioms) are inconsistent by
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1195.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11128) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11128) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11129) all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11129) implies:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11130) op(e2, e2) = e1
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10992), (11130), (function-axioms) are
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11131) all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11131) implies:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11132) op(e1, e2) = e1
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (11116), (11121), (11132),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #509.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11133) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11133) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11134) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11134) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11135) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (164), (10990), (11116), (11135),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #634.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11136) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (157), (160), (259), (10974), (11086),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11088), (11136), (function-axioms) are
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #793.
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11137) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11137) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11138) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11138) gives:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11139) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11139) implies:
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11140) op(e3, e3) = e3
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (10974), (11045), (11140),
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1216.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11141) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11141) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11142) (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143) (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11144) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e2 & ~ (all_57_4 = e1) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_15 = e2 & ~ (all_57_5 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_14 = e2) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & ~ (all_57_5 = e0) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11144) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11145) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11145) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11146) (all_57_0 = e2 & all_57_14 = e3 & ~ (all_57_1 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_15 = e3 & ~ (all_57_2 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11069), (11146), (function-axioms) are
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1442.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11147) (all_57_1 = e1 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e3) & op(e2, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_2 = e0) & ~ (all_57_14 = e3) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_14))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (10974), (11147),
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1973.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11148) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11148) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11149) (all_57_3 = e3 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_10 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_10 = e2) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_10))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11143), (11149), (function-axioms) are
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #465.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11150) (all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_5 = e0) & ~ (all_57_14 = e2) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11150) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11151) all_57_4 = e1 & all_57_10 = e2 & ~ (all_57_3 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11151) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11152) op(e1, e2) = e1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (11116), (11121), (11152),
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #509.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11153) (all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11153) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11154) all_57_4 = e1 & all_57_15 = e2 & ~ (all_57_5 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11154) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11155) op(e1, e2) = e1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (11116), (11121), (11155),
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #509.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11156) all_57_6 = e3 & all_57_12 = e1 & ~ (all_57_7 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11156) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11157) op(e2, e2) = e1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10992), (11157), (function-axioms) are
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11158) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_11 = e2 & ~ (all_57_9 = e3) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11158) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11159) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & ~ (all_57_8 = e0) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11159) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11160) (all_57_6 = e3 & all_57_15 = e1 & ~ (all_57_8 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_12 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10958), (11049), (11160), (function-axioms)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #464.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11161) (all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_11 = e2) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_14 = e0 & ~ (all_57_10 = e0) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11161) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162) all_57_7 = e2 & all_57_15 = e1 & ~ (all_57_8 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_12 = e1) & op(e2, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11162) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11163) op(e0, e0) = e1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10958), (11163), (function-axioms) are
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11164) (all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_10 = e0) & ~ (all_57_13 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_13))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11164) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165) all_57_9 = e3 & all_57_12 = e0 & ~ (all_57_10 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11165) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11166) op(e3, e0) = e3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (120), (168), (169), (236),
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11001), (11062), (11166),
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11167) all_57_9 = e3 & all_57_14 = e0 & ~ (all_57_10 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_10) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11167) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11168) op(e3, e0) = e3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (120), (168), (169), (236),
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11001), (11062), (11168),
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11169) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_12 = e0) & ~ (all_57_13 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_13 = e1 & ~ (all_57_11 = e2) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11169) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11170) (all_57_10 = e0 & all_57_11 = e2 & ~ (all_57_9 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0 & all_57_13 = e1 & ~ (all_57_9
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10978), (11170), (function-axioms) are
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1936.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11171) (all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_11 = e2) & ~ (all_57_14 = e0) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e3 & ~ (all_57_0 = e2) & ~
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e1) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_7 = e2) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11171) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11172) all_57_11 = e2 & all_57_14 = e0 & ~ (all_57_12 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11172) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173) ~ (all_57_13 = e1)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) op(e1, e0) = all_57_13
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11094), (11173), (11174), (function-axioms) are
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1437.
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11175) (all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_11) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_0 = e2) & ~ (all_57_15 = e3) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_57_14 = e3 & ~ (all_57_1 = e1) &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_3 = e3) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_6 = e3) & ~ (all_57_15 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_15 = e1) & op(e2, e2) =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_7))))
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11175) gives:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) all_57_12 = e0 & all_57_13 = e1 & ~ (all_57_11 =
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11176) implies:
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) op(e2, e2) = e0
% 189.94/29.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (234), (10978), (11048),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057), (11062), (11074), (11177),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1915.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_1 = e1) & ~ (all_57_15 = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_3 & op(e0, e2) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_4 = e1) & ~ (all_57_15 = e2)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_10 = e1 & ~ (all_57_6 = e3) & ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_7 = e2) & ~ (all_57_15 = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_7)))
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11178) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179) op(e0, e0) = all_57_15
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11180) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11180) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11181) (all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_1 = e1) & ~ (all_57_15 = e3) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 = e2 & ~ (all_57_3 = e3) & ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11181) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11182) all_57_2 = e0 & all_57_12 = e3 & ~ (all_57_0 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11182) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11183) op(e2, e2) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11183), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184) (all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_3 = e3) & ~ (all_57_15 = e2) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & $i(all_57_3))
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11184) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11185) all_57_2 = e0 & all_57_14 = e3 & ~ (all_57_1 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e3) & op(e1, e3) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11185) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) ~ (all_57_15 = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10958), (11179), (11186), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1276.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) all_57_5 = e0 & all_57_10 = e2 & ~ (all_57_3 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11187) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) op(e0, e2) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10958), (11142), (11188), (function-axioms)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1028.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) (all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_6 = e3) & ~ (all_57_15 = e1) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 = e1 & ~ (all_57_7 = e2) & ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11189) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) all_57_5 = e0 & all_57_14 = e2 & ~ (all_57_4 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11190) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) op(e0, e2) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10958), (11142), (11191), (function-axioms)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1028.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) (all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_7 = e2) & ~ (all_57_15 = e1) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & $i(all_57_7))
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11192) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) all_57_8 = e0 & all_57_10 = e1 & ~ (all_57_6 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11193) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) ~ (all_57_6 = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) op(e3, e1) = all_57_6
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11049), (11194), (11195), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #675.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) all_57_8 = e0 & all_57_12 = e1 & ~ (all_57_7 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11196) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) op(e2, e2) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10992), (11197), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (11094), (11198),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #495.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9857), (11092), (11100), (11199) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #951.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_54_11 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11036), (11200) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) all_54_6 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11035), (11201) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10973), (10988), (11034), (11202) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11203) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) all_56_4 = e0 & op(e3, e1) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11048), (11204) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #978.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) all_56_9 = e0 & op(e3, e0) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11001), (11205) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1572.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11206),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #507.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_56_5 = e3 & op(e2, e1) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (200), (269), (10973), (10988),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034), (11207), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #677.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11208) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) all_56_8 = e3 & op(e1, e1) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11209) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) op(e1, e1) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (11210), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) all_56_14 = e3 & op(e0, e1) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11211) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) all_56_14 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11042) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) all_54_11 = e2
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9861), (11213) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) ~ (all_54_11 = e2)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) all_54_11 = e1 | all_54_11 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11216) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11217) all_56_0 = e0 & op(e3, e3) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11217) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11218) op(e3, e3) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10978), (11218), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_56_2 = e0 & op(e2, e3) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11045), (11219) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1729.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11220) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11221) all_56_6 = e0 & op(e1, e3) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11221) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) all_56_6 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11223) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) all_56_6 = e3 & op(e1, e3) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11224) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) all_56_6 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045), (11225), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) all_56_7 = e3 & op(e1, e2) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11226) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) all_56_7 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11228) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) all_56_6 = e1 & op(e1, e3) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11229) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) op(e1, e3) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11230), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11231) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) all_56_7 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11227), (11232) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) e3 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11233) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) e3 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11234) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) all_56_2 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11235), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1844.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11236) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) all_56_8 = e1 & op(e1, e1) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11237) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) op(e1, e1) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (9858), (9859),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212), (11238), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) all_56_11 = e1 & op(e1, e0) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11239) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) all_56_11 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11215) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) all_54_11 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11241) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) all_52_14 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11242) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_52_14 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11243) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) ~ (all_52_6 = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10952), (11243) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) ~ (e3 = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (11243) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) ~ (e2 = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11247) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_56_4 = e0 & op(e3, e1) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11248) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_56_4 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) all_54_4 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11250) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) all_52_1 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11251) imply:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) ~ (all_52_2 = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11252) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) ~ (all_52_2 = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11254) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) all_56_0 = e3 & op(e3, e3) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11255) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) op(e3, e3) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (10974), (11045), (11256),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1216.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) all_56_1 = e3 & op(e3, e2) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11257) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) all_56_1 = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) op(e3, e2) = e3
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (10975), (10992), (11260),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1766.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11261) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11262) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) op(e1, e2) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11244), (11263), (function-axioms) are
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1970.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) all_56_13 = e1 & op(e0, e2) = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11264) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11265) all_56_13 = e1
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11266) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11266) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11267) all_56_2 = e0 & op(e2, e3) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11267) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11268) all_56_2 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11222), (11253), (11268),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1176.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11269) all_56_3 = e0 & op(e2, e2) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11269) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11270) op(e2, e2) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (11227), (11259), (11265),
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11270), (function-axioms) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1923.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11271) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11271) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11272) all_56_5 = e0 & op(e2, e1) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11272) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11273) all_56_5 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11029), (11273) are inconsistent by
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1842.
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11274) all_56_10 = e0 & op(e2, e0) = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11274) implies:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11275) all_56_10 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11276) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11276) gives:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11277) all_56_1 = e0 & op(e3, e2) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11277) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11278) all_56_1 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11258), (11278) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11279) e3 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11279) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11280) all_56_2 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11222), (11253), (11280),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1176.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11281) all_56_3 = e0 & op(e2, e2) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11281) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282) op(e2, e2) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (373), (10978),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10990), (11275), (11282), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1410.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11283) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11283) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11284) all_56_7 = e0 & op(e1, e2) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11284) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11285) all_56_7 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11227), (11285) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11286) e3 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11286) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11287) all_56_2 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11222), (11253), (11287),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1176.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11288) all_56_13 = e0 & op(e0, e2) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11265), (11288) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1867.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11289) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11289) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11290) all_56_4 = e3 & op(e3, e1) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11290) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11291) all_56_4 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11249), (11291) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11292) e3 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11292) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11293) e3 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11293) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11294) all_56_2 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11222), (11253), (11294),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1176.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11295) all_56_9 = e3 & op(e3, e0) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11295) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11296) op(e3, e0) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10950), (11296), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11297) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10973), (10988), (11034), (11297) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11298) all_56_5 = e0 & op(e2, e1) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11029), (11298) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #849.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11299) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11299) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11300) all_56_8 = e0 & op(e1, e1) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11300) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11301) op(e1, e1) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (11222),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240), (11301), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1575.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11302) all_56_14 = e0 & op(e0, e1) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11212), (11302) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1745.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11303) all_54_11 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11036), (11303) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11304) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11304),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #507.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11305) all_56_12 = e0 & op(e0, e3) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11305) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11306) all_56_12 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10997), (11306) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1852.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11307) all_56_3 = e3 & op(e2, e2) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11307) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11308) op(e2, e2) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11308), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (11309) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11309) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11310) all_56_5 = e3 & op(e2, e1) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (200), (269), (10973), (10988),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034), (11310), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #677.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11311) all_56_10 = e3 & op(e2, e0) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10951), (11311), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | (11312) all_56_10 = e1 & op(e2, e0) = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11312) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | (11313) all_56_10 = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (206), (10958), (11001), (11003), (11009),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | (11013), (11014), (11015), (11025), (11313),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | #485.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11314) ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | ALPHA: (11314) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11315) ~ (all_18_1 = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11316) op(e0, e3) = all_18_1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_18_1,
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (10998), (11316) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11317) all_18_1 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | REDUCE: (11315), (11317) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11318) $false
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | CLOSE: (11318) is inconsistent.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | (11319) all_56_10 = e2 & op(e2, e0) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | ALPHA: (11319) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | (11320) op(e2, e0) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10990), (11320), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1662.
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | (11321) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9861), (10958), (11321),
% 189.94/29.54 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | #483.
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | (11322) all_54_5 = e1 | all_54_5 = e0
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | REF_CLOSE: (268), (10960), (10980), (11322) are inconsistent
% 189.94/29.54 | | | | | | | | | | | | | | by sub-proof #1941.
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | (11323) all_32_2 = e0
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | COMBINE_EQS: (314), (11323) imply:
% 189.94/29.54 | | | | | | | | | | | | (11324) all_4_2 = e0
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | SIMP: (11324) implies:
% 189.94/29.54 | | | | | | | | | | | | (11325) all_4_2 = e0
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | COMBINE_EQS: (309), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11326) all_36_2 = e0
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (349), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11327) ~ (all_52_1 = e0)
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (352), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11328) ~ (all_52_4 = e0)
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (356), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11329) ~ (all_52_7 = e0)
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (358), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11330) ~ (all_52_9 = e0)
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (360), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11331) ~ (all_52_13 = e0)
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (373), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11332) ~ (e3 = e0)
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (10960), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11333) ~ (e1 = e0)
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | REDUCE: (36), (11325) imply:
% 189.94/29.54 | | | | | | | | | | | | (11334) op(e2, e2) = e0
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.94/29.54 | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | (11335) all_54_14 = e3
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | COMBINE_EQS: (247), (11335) imply:
% 189.94/29.54 | | | | | | | | | | | | | (11336) all_52_11 = e3
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | REDUCE: (10949), (11336) imply:
% 189.94/29.54 | | | | | | | | | | | | | (11337) $false
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | CLOSE: (11337) is inconsistent.
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | (11338) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | BETA: splitting (202) gives:
% 189.94/29.54 | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | (11339) all_54_2 = e3
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | COMBINE_EQS: (271), (11339) imply:
% 189.94/29.54 | | | | | | | | | | | | | | (11340) all_52_8 = e3
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | SIMP: (11340) implies:
% 189.94/29.54 | | | | | | | | | | | | | | (11341) all_52_8 = e3
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | REDUCE: (134), (11341) imply:
% 189.94/29.54 | | | | | | | | | | | | | | (11342) ~ (all_52_4 = e3)
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | REDUCE: (123), (11341) imply:
% 189.94/29.54 | | | | | | | | | | | | | | (11343) ~ (all_52_9 = e3)
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | SIMP: (11343) implies:
% 189.94/29.54 | | | | | | | | | | | | | | (11344) ~ (all_52_9 = e3)
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | REDUCE: (121), (11341) imply:
% 189.94/29.54 | | | | | | | | | | | | | | (11345) ~ (all_52_11 = e3)
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | REDUCE: (120), (11341) imply:
% 189.94/29.54 | | | | | | | | | | | | | | (11346) ~ (all_52_12 = e3)
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 189.94/29.54 | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | (11347) all_54_1 = e3
% 189.94/29.54 | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | REF_CLOSE: (272), (11342), (11347) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | sub-proof #1763.
% 189.94/29.54 | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | (11348) ~ (all_54_1 = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | (11349) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 189.94/29.54 | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | BETA: splitting (11349) gives:
% 189.94/29.54 | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | (11350) all_54_1 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11350) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | (11351) all_52_4 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | SIMP: (11351) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | (11352) all_52_4 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | REDUCE: (135), (11352) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | (11353) ~ (all_52_7 = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | SIMP: (11353) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | (11354) ~ (all_52_7 = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | REDUCE: (133), (11352) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | (11355) ~ (all_52_12 = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | SIMP: (11355) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | (11356) ~ (all_52_12 = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | REDUCE: (11342), (11352) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | (11357) ~ (e3 = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | (11358) all_54_6 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11344), (11358) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | sub-proof #1468.
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | (11359) ~ (all_54_6 = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | (11360) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | (11361) all_54_3 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10950), (11361) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | (11362) ~ (all_54_3 = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | (11363) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11364) all_54_13 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11364) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11365) all_52_7 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | REDUCE: (10948), (11365) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11366) $false
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | CLOSE: (11366) is inconsistent.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11367) ~ (all_54_13 = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | (11368) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | (11369) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11369) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | (11370) all_56_0 = e2 & op(e3, e3) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11370) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | (11371) op(e3, e3) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10978), (11371), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1934.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | (11372) all_56_1 = e2 & op(e3, e2) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11372) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | (11373) all_56_1 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | (11374) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11374) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | (11375) all_56_2 = e3 & op(e2, e3) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11375) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | (11376) all_56_2 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | (11377) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11377) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | (11378) all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11356), (11378), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | (11379) all_56_10 = e2 & op(e2, e0) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11379) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | (11380) all_56_10 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | (11381) op(e2, e0) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11360) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (11382) all_54_6 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (11382) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1467.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (11383) ~ (all_54_6 = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (11384) all_54_6 = e1 | all_54_6 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11385) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11385) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11386) all_56_1 = e3 & op(e3, e2) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11386) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11387) op(e3, e2) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (168), (169), (234), (9858), (10978),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11356), (11387), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #463.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11388) all_56_3 = e3 & op(e2, e2) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11388) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11389) op(e2, e2) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11389), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11390) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11390) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11391) all_56_7 = e3 & op(e1, e2) = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11391) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11392) all_56_7 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11393) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10975), (11334), (11393),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11394) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11394) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11395) all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11376), (11392), (11395),
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11396) all_56_13 = e1 & op(e0, e2) = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11396) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11397) all_56_13 = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11363) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11398) all_54_3 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11356), (11398) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1689.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11399) all_54_3 = e1 | all_54_3 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11400) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11400) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11401) all_56_12 = e2 & op(e0, e3) = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11401) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11402) all_56_12 = e2
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403) all_56_15 = e0 & op(e0, e0) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11403) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11404) op(e0, e0) = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10958), (11404), (function-axioms) are
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11405) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11405) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11406) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11407) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11384) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11408) all_54_6 = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11408) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409) all_52_9 = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11409) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410) all_52_9 = e1
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11410) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411) ~ (all_52_11 = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11411) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412) ~ (all_52_11 = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11410) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11413) ~ (all_52_13 = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11413) implies:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11414) ~ (all_52_13 = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11344), (11410) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415) ~ (e3 = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9859), (11410) imply:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416) ~ (e2 = e1)
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11417) all_54_7 = e3
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10951), (11417) are inconsistent by
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11418) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11419) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420) all_56_4 = e3 & op(e3, e1) = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11420) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421) all_56_4 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11422) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11422) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11423) all_56_6 = e1 & op(e1, e3) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11423) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11424) op(e1, e3) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11424), (function-axioms) are
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11425) all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11376), (11392), (11425),
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11426) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11426) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11427) all_56_8 = e1 & op(e1, e1) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11427) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428) op(e1, e1) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11428), (function-axioms) are
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11429) all_56_11 = e1 & op(e1, e0) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11429) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11430) op(e1, e0) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11431) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432) all_56_4 = e1 & op(e3, e1) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11432) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433) op(e3, e1) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10976), (11433), (function-axioms) are
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434) all_56_5 = e1 & op(e2, e1) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11434) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435) all_56_5 = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11368) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11436) all_54_13 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11354), (11436) are inconsistent by
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1444.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11437) all_54_13 = e1 | all_54_13 = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11338) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438) all_54_14 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (11438) are inconsistent by
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11439) ~ (all_54_14 = e2)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11440) all_54_14 = e1 | all_54_14 = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11407) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11441) all_56_9 = e0 & op(e3, e0) = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11441) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11442) all_56_9 = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11440) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11443) all_54_14 = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11412), (11443) are inconsistent by
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1739.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11444) all_54_14 = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11444) imply:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11445) all_52_11 = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11445) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11446) all_52_11 = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (11446) imply:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11447) ~ (all_52_3 = e0)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9860), (11446) imply:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11448) ~ (e2 = e0)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11449) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11449) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11450) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11450) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11451) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452) all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11452) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11453) op(e3, e2) = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10978), (11369), (11453),
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1211.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11454) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11454) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11455) all_56_4 = e2 & op(e3, e1) = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11455) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) all_56_4 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11421), (11456) imply:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11457) e3 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11376), (11457) imply:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458) all_56_2 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (11380), (11435),
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458), (function-axioms) are inconsistent by
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1398.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11459) all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11442), (11459) are inconsistent by
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1102.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11460) all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11460) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461) op(e2, e2) = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11461), (function-axioms) are
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11462) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11462) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11463) all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11463) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464) op(e1, e3) = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11418) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11465) all_54_7 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11465) imply:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11466) all_52_13 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11466) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467) all_52_13 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11467) imply:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11468) ~ (all_52_1 = e2)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (200), (269), (10973), (11327),
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464), (11468), (function-axioms) are
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #462.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11469) all_54_7 = e1 | all_54_7 = e0
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11331), (11414), (11469) are inconsistent
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1376.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11470) all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11470) implies:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471) op(e1, e3) = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11471), (function-axioms) are
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1974.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11472) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11472) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11473) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (10978), (11447), (11473),
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1891.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474) (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (128), (162), (248), (11329), (11334),
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11437), (11474), (function-axioms) are
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #508.
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11475) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11475) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11476) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11476) gives:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11477) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (9862), (11331), (11430), (11477),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #461.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11478) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (157), (160), (270), (10977), (11399),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412), (11478), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #993.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11479) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11479) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11480) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11480) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11481) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11481) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11482) op(e3, e3) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (10974), (11376), (11482),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1216.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11483) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11483) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11484) op(e2, e2) = e2
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (11373), (11392), (11397),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11484), (function-axioms) are inconsistent by
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11485) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (11430), (11485),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #495.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11486) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11486) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11487) all_56_10 = e0 & op(e2, e0) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11487) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11488) op(e2, e0) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11331), (11488), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11489) all_56_11 = e0 & op(e1, e0) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11489) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11490) op(e1, e0) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (10977), (11399), (11490),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1687.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11491) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (9862), (11412), (11491),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #460.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11492) all_56_5 = e3 & op(e2, e1) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11492) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11493) op(e2, e1) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11344), (11493), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1758.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11494) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11494) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11495) all_56_8 = e3 & op(e1, e1) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11495) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11496) op(e1, e1) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (11496), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11497) all_56_14 = e3 & op(e0, e1) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11497) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11498) all_56_14 = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11499) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11499) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11500) all_56_4 = e1 & op(e3, e1) = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11500) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11501) op(e3, e1) = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10976), (11501), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11502) all_56_5 = e1 & op(e2, e1) = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11502) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11503) all_56_5 = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11406) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11504) all_56_12 = e0 & op(e0, e3) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11504) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11505) all_56_12 = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11402), (11505) imply:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11506) e2 = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11373), (11506) imply:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11507) all_56_1 = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (168), (227), (234),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (10950), (10978), (11334), (11392),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11397), (11507), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1073.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11508) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11508) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11509) all_56_13 = e0 & op(e0, e2) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11509) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11510) op(e0, e2) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11329), (11510), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11511) all_56_14 = e0 & op(e0, e1) = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11511) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11512) all_56_14 = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11498), (11512) imply:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11513) e3 = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11376), (11513) imply:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11514) all_56_2 = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (85), (224), (373), (11326),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11381), (11503), (11514), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1705.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11515) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11515) gives:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11516) all_56_8 = e1 & op(e1, e1) = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11516) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11517) op(e1, e1) = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (9858), (9859),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11498), (11517), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11518) all_56_14 = e1 & op(e0, e1) = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11518) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11519) op(e0, e1) = e1
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11412), (11519), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1885.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11520) all_54_6 = e0
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11330), (11520) are inconsistent by
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11521) all_56_13 = e2 & op(e0, e2) = e2
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11521) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11522) all_56_13 = e2
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11397), (11522) are inconsistent by
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1916.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11523) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (9860), (10958), (11523),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #469.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11524) all_56_13 = e3 & op(e0, e2) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11524) implies:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11525) op(e0, e2) = e3
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10948), (11525), (function-axioms) are
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #783.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | (11526) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9861), (10958), (11526),
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | | #483.
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 189.94/29.56 | | | | | | | | | | | | | | | | | | | | | | | (11527) all_56_3 = e3 & op(e2, e2) = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11527) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | (11528) op(e2, e2) = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11528), (function-axioms) are
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (11529) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (10951), (11344), (11529),
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | #1455.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | (11530) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11530) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | (11531) all_56_4 = e2 & op(e3, e1) = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (11531), (function-axioms) are
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | (11532) all_56_9 = e2 & op(e3, e0) = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11356), (11532), (function-axioms) are
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | (11533) all_54_1 = e1 | all_54_1 = e0
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10975), (11328), (11533) are inconsistent
% 190.19/29.56 | | | | | | | | | | | | | | | | by sub-proof #1898.
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | End of split
% 190.19/29.56 | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | (11534) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 190.19/29.56 | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | BETA: splitting (11534) gives:
% 190.19/29.56 | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | (11535) all_54_2 = e2
% 190.19/29.56 | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | REF_CLOSE: (271), (9858), (11535) are inconsistent by
% 190.19/29.56 | | | | | | | | | | | | | | | sub-proof #1761.
% 190.19/29.56 | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | (11536) all_54_2 = e1 | all_54_2 = e0
% 190.19/29.56 | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | BETA: splitting (11536) gives:
% 190.19/29.56 | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | (11537) all_54_2 = e1
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10976), (11537) are inconsistent by
% 190.19/29.56 | | | | | | | | | | | | | | | | sub-proof #1760.
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | (11538) all_54_2 = e0
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11538) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | (11539) all_52_8 = e0
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | SIMP: (11539) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | (11540) all_52_8 = e0
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | REDUCE: (123), (11540) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | (11541) ~ (all_52_9 = e0)
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | REDUCE: (121), (11540) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | (11542) ~ (all_52_11 = e0)
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | SIMP: (11542) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | (11543) ~ (all_52_11 = e0)
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | REDUCE: (120), (11540) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | (11544) ~ (all_52_12 = e0)
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | SIMP: (11544) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | (11545) ~ (all_52_12 = e0)
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | (11546) all_54_3 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10950), (11546) are inconsistent by
% 190.19/29.56 | | | | | | | | | | | | | | | | | sub-proof #1330.
% 190.19/29.56 | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | (11547) ~ (all_54_3 = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | (11548) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 190.19/29.56 | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | BETA: splitting (11548) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | (11549) all_54_3 = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (11549) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | (11550) all_52_12 = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | SIMP: (11550) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | (11551) all_52_12 = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | REDUCE: (133), (11551) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | (11552) ~ (all_52_4 = e2)
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | REDUCE: (113), (11551) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | (11553) ~ (all_52_13 = e2)
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | SIMP: (11553) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | (11554) ~ (all_52_13 = e2)
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | (11555) all_54_7 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10951), (11555) are inconsistent by
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | (11556) ~ (all_54_7 = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | (11557) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 190.19/29.56 | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (11557) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | (11558) all_54_7 = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11554), (11558) are inconsistent by
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | sub-proof #1483.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | (11559) ~ (all_54_7 = e2)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | (11560) all_54_7 = e1 | all_54_7 = e0
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11560) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | (11561) all_54_7 = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11561) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | (11562) all_52_13 = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | SIMP: (11562) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | (11563) all_52_13 = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11563) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | (11564) ~ (all_52_9 = e1)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11554), (11563) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | (11565) ~ (e2 = e1)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (11566) all_54_1 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11566) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (11567) all_52_4 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11567) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (11568) all_52_4 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11568) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (11569) ~ (all_52_6 = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11569) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (11570) ~ (all_52_6 = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11568) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | (11571) ~ (all_52_7 = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | (11572) all_54_6 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11572) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | (11573) all_52_9 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11573) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | (11574) ~ (all_52_1 = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11573) imply:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | (11575) ~ (all_52_11 = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | (11576) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11576) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | (11577) all_56_1 = e3 & op(e3, e2) = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11577) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | (11578) all_56_1 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | (11579) op(e3, e2) = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (11580) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11334), (11579), (11580),
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | #1926.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (11581) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11581) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11582) all_56_7 = e2 & op(e1, e2) = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11582) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11583) op(e1, e2) = e2
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11584) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10975), (11334), (11584),
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11585) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11585) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_56_7 = e1 & op(e1, e2) = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11586) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587) op(e1, e2) = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11583), (11587), (function-axioms) are
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #784.
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) all_56_13 = e1 & op(e0, e2) = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11588) implies:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) all_56_13 = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) op(e0, e2) = e1
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11591) gives:
% 190.19/29.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) all_56_0 = e3 & op(e3, e3) = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11592) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) op(e3, e3) = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (10977), (11578), (11593),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #891.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) all_56_2 = e3 & op(e2, e3) = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11594) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) op(e2, e3) = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) all_54_4 = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11574), (11596) are inconsistent by
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1409.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) ~ (all_54_4 = e3)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11598) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) all_54_4 = e2
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11599) imply:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) all_52_1 = e2
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11574), (11600) imply:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) ~ (e3 = e2)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (11600) imply:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) op(e2, e3) = e2
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11595), (11602), (function-axioms) are
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) all_54_4 = e1 | all_54_4 = e0
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10973), (11327), (11603) are inconsistent
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1830.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11604) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) all_56_6 = e3 & op(e1, e3) = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11605) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) all_56_6 = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11607) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11608) all_56_2 = e1 & op(e2, e3) = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11608) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11609) all_56_2 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (10978),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606), (11609), (function-axioms) are
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1850.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11610) all_56_3 = e1 & op(e2, e2) = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11610) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611) op(e2, e2) = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11334), (11611), (function-axioms) are
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1909.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (121), (125),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (128), (133), (134), (135), (136), (139),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (192),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (195), (196), (199), (200), (201), (202),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (211), (213), (215), (216), (217),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (238), (239), (249), (250), (258),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (268), (269), (270), (271), (272), (309),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314), (349), (352), (354), (358), (360), (373),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862), (10949), (10950), (10951), (10952),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10957), (10958), (10974), (10976), (10977),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11334), (11545), (11554), (11564),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578), (11579), (11589), (11590), (11612),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #456.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11613) all_56_12 = e3 & op(e0, e3) = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11613) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11614) all_56_12 = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11615) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (10978),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11334), (11614), (11615), (function-axioms) are
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1363.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11616) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (120), (121), (125),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (128), (133), (134), (135), (136), (139),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (143), (144), (145), (146), (148),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (192),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (195), (196), (199), (200), (201), (202),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (211), (213), (215), (216), (217),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (226),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (238), (239), (249), (250), (258),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (268), (269), (270), (271), (272), (309),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314), (349), (352), (354), (358), (360), (373),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862), (10949), (10950), (10951), (10952),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10957), (10958), (10974), (10976), (10977),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978), (11334), (11545), (11554), (11564),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578), (11579), (11589), (11590), (11616),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #456.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617) all_56_13 = e2 & op(e0, e2) = e2
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11617) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618) all_56_13 = e2
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10975), (11334), (11619),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1908.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11620) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11621) all_56_7 = e1 & op(e1, e2) = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11621) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622) all_56_7 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11338) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11623) all_54_14 = e2
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (11623) are inconsistent by
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1740.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11624) ~ (all_54_14 = e2)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11625) all_54_14 = e1 | all_54_14 = e0
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11625) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11626) all_54_14 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11626) imply:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11627) all_52_11 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11627) implies:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11628) all_52_11 = e1
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11628) imply:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629) ~ (all_52_7 = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10949), (11628) imply:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) ~ (e3 = e1)
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (36), (134), (163), (168), (169), (170),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (10974), (10978), (11334), (11545),
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579), (11631), (function-axioms) are
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #458.
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11632) gives:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11633) gives:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (10978), (11554), (11579), (11634),
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #526.
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9862), (10958), (11635),
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #457.
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11636) gives:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))))
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11637) gives:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2)))
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11638) implies:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) op(e3, e3) = e3
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11578), (11639), (11640), (function-axioms)
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1881.
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11641) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_56_4 = e1 & op(e3, e1) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11642) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) all_56_4 = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11644) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) all_56_1 = e0 & op(e3, e2) = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11578), (11645) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1878.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) all_56_3 = e0 & op(e2, e2) = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11578), (11639), (11647), (function-axioms)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1193.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11648) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) all_56_4 = e2 & op(e3, e1) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11649) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) all_56_4 = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (232), (10977), (11578), (11639),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650), (function-axioms) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1401.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) all_56_9 = e2 & op(e3, e0) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11651) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) all_56_9 = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (373), (11334), (11629),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639), (11643), (11652), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #455.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11653) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) all_56_7 = e0 & op(e1, e2) = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11622), (11654) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1563.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) all_56_13 = e0 & op(e0, e2) = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11618), (11655) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1208.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) all_56_9 = e1 & op(e3, e0) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11656) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) op(e3, e0) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10977), (11657), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11658) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10978), (11579), (11659), (function-axioms)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1888.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11660) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11661) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) op(e1, e1) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11662), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11663) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) op(e0, e0) = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (227), (228),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (10958), (10978), (11334), (11578),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622), (11664), (11665), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) all_54_14 = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11543), (11666) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1738.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) all_56_13 = e1 & op(e0, e2) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11618), (11667) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1205.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | (11668) all_56_3 = e3 & op(e2, e2) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11668) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | (11669) op(e2, e2) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11669), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1975.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | (11670) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (10948), (11570), (11670),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | | #454.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | (11671) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (11330), (11564), (11671) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #641.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11672) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10975), (11328), (11552), (11672) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | (11673) all_54_7 = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11331), (11673) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | sub-proof #1477.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11674) all_54_3 = e1 | all_54_3 = e0
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10977), (11545), (11674) are inconsistent
% 190.23/29.58 | | | | | | | | | | | | | | | | | | by sub-proof #1061.
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | (11675) all_24_2 = e1
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | COMBINE_EQS: (318), (11675) imply:
% 190.23/29.58 | | | | | | | | | | (11676) all_4_2 = e1
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | SIMP: (11676) implies:
% 190.23/29.58 | | | | | | | | | | (11677) all_4_2 = e1
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | COMBINE_EQS: (292), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11678) all_44_2 = e1
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | REDUCE: (352), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11679) ~ (all_52_4 = e1)
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | REDUCE: (354), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11680) ~ (all_52_6 = e1)
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | REDUCE: (356), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11681) ~ (all_52_7 = e1)
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | REDUCE: (358), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11682) ~ (all_52_9 = e1)
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | REDUCE: (360), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11683) ~ (all_52_13 = e1)
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | REDUCE: (373), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11684) ~ (e3 = e1)
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | REDUCE: (36), (11677) imply:
% 190.23/29.58 | | | | | | | | | | (11685) op(e2, e2) = e1
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | BETA: splitting (70) gives:
% 190.23/29.58 | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | (11686) ~ (all_26_2 = e1)
% 190.23/29.58 | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | REDUCE: (307), (11686) imply:
% 190.23/29.58 | | | | | | | | | | | (11687) ~ (all_6_2 = e1)
% 190.23/29.58 | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | BETA: splitting (204) gives:
% 190.23/29.58 | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | (11688) all_54_0 = e3
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | COMBINE_EQS: (279), (11688) imply:
% 190.23/29.58 | | | | | | | | | | | | (11689) all_6_2 = e3
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | REDUCE: (340), (11689) imply:
% 190.23/29.58 | | | | | | | | | | | | (11690) ~ (all_52_2 = e3)
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | REDUCE: (346), (11689) imply:
% 190.23/29.58 | | | | | | | | | | | | (11691) ~ (all_52_8 = e3)
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | REDUCE: (39), (11689) imply:
% 190.23/29.58 | | | | | | | | | | | | (11692) op(e3, e3) = e3
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.23/29.58 | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | (11693) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.23/29.58 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | BETA: splitting (11693) gives:
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | (11694) all_56_2 = e3 & op(e2, e3) = e3
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | ALPHA: (11694) implies:
% 190.23/29.58 | | | | | | | | | | | | | | (11695) all_56_2 = e3
% 190.23/29.58 | | | | | | | | | | | | | | (11696) op(e2, e3) = e3
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | (11697) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | (11698) all_56_6 = e3 & op(e1, e3) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | ALPHA: (11698) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11699) all_56_6 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 190.23/29.58 | | | | | | | | | | | | | | | | (11692), (11695), (11699), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1034.
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | (11700) all_56_7 = e3 & op(e1, e2) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | ALPHA: (11700) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11701) all_56_7 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | (11702) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | BETA: splitting (11702) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11703) all_56_0 = e2 & op(e3, e3) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | ALPHA: (11703) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11704) op(e3, e3) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11692), (11704), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1957.
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11705) all_56_2 = e2 & op(e2, e3) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | ALPHA: (11705) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11706) op(e2, e3) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11696), (11706), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1869.
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | (11707) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | BETA: splitting (11707) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11708) all_56_6 = e2 & op(e1, e3) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | ALPHA: (11708) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11709) all_56_6 = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (11692),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11695), (11709), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1218.
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11710) all_56_12 = e2 & op(e0, e3) = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | ALPHA: (11710) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11711) all_56_12 = e2
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | (11712) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (11712) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11713) all_56_0 = e1 & op(e3, e3) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (11713) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11714) op(e3, e3) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11692), (11714), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11715) all_56_2 = e1 & op(e2, e3) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (11715) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11716) all_56_2 = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (164), (165), (221),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (223), (224), (9859), (10951), (11685), (11716),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | #471.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | (11717) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (11717) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11718) all_56_6 = e1 & op(e1, e3) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (11718) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11719) all_56_6 = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | (11720) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11720) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11721) all_56_4 = e3 & op(e3, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11721) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11722) op(e3, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11691), (11722), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1759.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11723) all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11723) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11724) all_56_5 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (11685),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11695), (11724), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #453.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | (11725) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11725) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11726) all_56_8 = e3 & op(e1, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11726) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11727) op(e1, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (11701),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11719), (11727), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1772.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11728) all_56_14 = e3 & op(e0, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11728) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11729) all_56_14 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (158), (207), (10958), (11681), (11711),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | (11729), (function-axioms) are inconsistent by
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1039.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11730) all_56_12 = e1 & op(e0, e3) = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (11730) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11731) all_56_12 = e1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11692), (11695), (11731), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | (11732) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.23/29.58 | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11732),
% 190.23/29.58 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.58 | | | | | | | | | | | | | | | #507.
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | (11733) all_56_3 = e3 & op(e2, e2) = e3
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | ALPHA: (11733) implies:
% 190.23/29.58 | | | | | | | | | | | | | | (11734) op(e2, e2) = e3
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | REF_CLOSE: (8), (11685), (11734), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | End of split
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | (11735) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.23/29.58 | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | BETA: splitting (11735) gives:
% 190.23/29.58 | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | (11736) all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | ALPHA: (11736) implies:
% 190.23/29.58 | | | | | | | | | | | | | | (11737) all_56_5 = e3
% 190.23/29.58 | | | | | | | | | | | | | | (11738) op(e2, e1) = e3
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.23/29.58 | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | (11739) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | BETA: splitting (11739) gives:
% 190.23/29.58 | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | (11740) all_56_6 = e3 & op(e1, e3) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | ALPHA: (11740) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11741) op(e1, e3) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11690), (11741), (function-axioms) are
% 190.23/29.58 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1179.
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | (11742) all_56_7 = e3 & op(e1, e2) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | ALPHA: (11742) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11743) all_56_7 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | | (11744) op(e1, e2) = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 190.23/29.58 | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (11744) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11745) all_52_6 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 190.23/29.58 | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (11738) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11746) all_52_9 = e3
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | REDUCE: (136), (11745) imply:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11747) ~ (all_52_4 = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | REDUCE: (128), (11745) imply:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11748) ~ (all_52_7 = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | REDUCE: (118), (11746) imply:
% 190.23/29.58 | | | | | | | | | | | | | | | | (11749) ~ (all_52_11 = e3)
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | (11750) ~ (all_34_2 = e2)
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | REDUCE: (9855), (11750) imply:
% 190.23/29.58 | | | | | | | | | | | | | | | | | (11751) $false
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | CLOSE: (11751) is inconsistent.
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | (11752) ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 190.23/29.58 | | | | | | | | | | | | | | | | | & op(e1, e2) = all_34_1 & $i(all_34_0) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2)
% 190.23/29.58 | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11753) ~ (all_44_2 = e1)
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | REDUCE: (11678), (11753) imply:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11754) $false
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | CLOSE: (11754) is inconsistent.
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | (11755) ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_44_1 & $i(all_44_0) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | $i(all_44_1)) | ( ~ (all_44_1 = e3) & op(e2, e1)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | BETA: splitting (11755) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | (11756) ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_44_1 & $i(all_44_0) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | ALPHA: (11756) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | (11757) ~ (all_44_0 = e0)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | (11758) op(e2, e1) = all_44_1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | (11759) op(all_44_1, e2) = all_44_0
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (9854) gives:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11760) ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_10_1 & $i(all_10_0) &
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (11760) implies:
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | | (11761) op(e1, e2) = all_10_1
% 190.23/29.58 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (125), (135), (139), (140), (158),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (159), (162), (165), (170), (190), (191), (203),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (204), (213), (215), (221), (223), (231), (239),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (247), (248), (272), (279), (374), (9859), (9860),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (9862), (9864), (10948), (10949), (10958),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11679), (11680), (11681), (11685), (11687),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11692), (11737), (11738), (11743), (11744),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11747), (11752), (11757), (11758), (11759),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11761), (function-axioms) are inconsistent by
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | sub-proof #449.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11762) ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (11762) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11763) op(e1, e2) = all_10_1
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (125), (135), (139), (140), (158),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (159), (162), (165), (170), (190), (191), (203),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (204), (213), (215), (221), (223), (231), (239),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (247), (248), (272), (279), (374), (9859), (9860),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (9862), (9864), (10948), (10949), (10958),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11679), (11680), (11681), (11685), (11687),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11692), (11737), (11738), (11743), (11744),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11747), (11752), (11757), (11758), (11759),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11763), (function-axioms) are inconsistent by
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | sub-proof #449.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11764) ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 &
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | ALPHA: (11764) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11765) ~ (all_44_1 = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11766) op(e2, e1) = all_44_1
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11738), (11765), (11766), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1042.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | (11767) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.23/29.59 | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11767),
% 190.23/29.59 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | #507.
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | (11768) all_56_10 = e3 & op(e2, e0) = e3
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | REF_CLOSE: (164), (10951), (11768), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | (11769) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (11687), (11769) are
% 190.23/29.59 | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | (11770) all_26_2 = e1
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | COMBINE_EQS: (307), (11770) imply:
% 190.23/29.59 | | | | | | | | | | | (11771) all_6_2 = e1
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | SIMP: (11771) implies:
% 190.23/29.59 | | | | | | | | | | | (11772) all_6_2 = e1
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | REDUCE: (338), (11772) imply:
% 190.23/29.59 | | | | | | | | | | | (11773) ~ (all_52_1 = e1)
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | REDUCE: (340), (11772) imply:
% 190.23/29.59 | | | | | | | | | | | (11774) ~ (all_52_2 = e1)
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | REDUCE: (342), (11772) imply:
% 190.23/29.59 | | | | | | | | | | | (11775) ~ (all_52_3 = e1)
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | REDUCE: (346), (11772) imply:
% 190.23/29.59 | | | | | | | | | | | (11776) ~ (all_52_8 = e1)
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | REDUCE: (348), (11772) imply:
% 190.23/29.59 | | | | | | | | | | | (11777) ~ (all_52_12 = e1)
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | REDUCE: (9864), (11772) imply:
% 190.23/29.59 | | | | | | | | | | | (11778) ~ (e2 = e1)
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | REDUCE: (39), (11772) imply:
% 190.23/29.59 | | | | | | | | | | | (11779) op(e3, e3) = e1
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | BETA: splitting (214) gives:
% 190.23/29.59 | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | (11780) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.23/29.59 | | | | | | | | | | | | & op(e1, e2) = e1)
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | REF_CLOSE: (162), (163), (11680), (11774), (11780),
% 190.23/29.59 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | #1322.
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | (11781) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 190.23/29.59 | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | BETA: splitting (11781) gives:
% 190.23/29.59 | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | (11782) all_56_8 = e1 & op(e1, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | ALPHA: (11782) implies:
% 190.23/29.59 | | | | | | | | | | | | | (11783) op(e1, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11783), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | (11784) all_56_11 = e1 & op(e1, e0) = e1
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | ALPHA: (11784) implies:
% 190.23/29.59 | | | | | | | | | | | | | (11785) all_56_11 = e1
% 190.23/29.59 | | | | | | | | | | | | | (11786) op(e1, e0) = e1
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | BETA: splitting (218) gives:
% 190.23/29.59 | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | (11787) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 190.23/29.59 | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | BETA: splitting (11787) gives:
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | (11788) all_56_4 = e1 & op(e3, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | ALPHA: (11788) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | (11789) op(e3, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | REF_CLOSE: (169), (11776), (11789), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | (11790) all_56_5 = e1 & op(e2, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | ALPHA: (11790) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | (11791) op(e2, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | REF_CLOSE: (165), (11682), (11791), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | inconsistent by sub-proof #1755.
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | (11792) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 190.23/29.59 | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | BETA: splitting (11792) gives:
% 190.23/29.59 | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | (11793) all_56_8 = e1 & op(e1, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | ALPHA: (11793) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | (11794) op(e1, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11794), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | (11795) all_56_14 = e1 & op(e0, e1) = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | ALPHA: (11795) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | (11796) all_56_14 = e1
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.23/29.59 | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | (11797) all_54_6 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11797) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | (11798) all_52_9 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | REDUCE: (123), (11798) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | (11799) ~ (all_52_8 = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | REDUCE: (117), (11798) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | (11800) ~ (all_52_13 = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | (11801) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | BETA: splitting (11801) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11802) all_56_0 = e3 & op(e3, e3) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | ALPHA: (11802) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11803) op(e3, e3) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11779), (11803), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1966.
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11804) all_56_1 = e3 & op(e3, e2) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | ALPHA: (11804) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11805) all_56_1 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11806) op(e3, e2) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11807) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (11807) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11808) all_56_2 = e3 & op(e2, e3) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (11808) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11809) all_56_2 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11810) op(e2, e3) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | (11811) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11806), (11811),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | #1211.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | (11812) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11812) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11813) all_56_4 = e2 & op(e3, e1) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (11813), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11814) all_56_9 = e2 & op(e3, e0) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11814) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11815) all_56_9 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (11816) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11779), (11805), (11816),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | #1131.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (11817) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11817) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11818) all_56_4 = e0 & op(e3, e1) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11818) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11819) all_56_4 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | (11820) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11810), (11820),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | #1862.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | (11821) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11821) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (11822) all_56_6 = e2 & op(e1, e3) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (11822), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (11823) all_56_12 = e2 & op(e0, e3) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11823) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (11824) all_56_12 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11825) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11825) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11826) all_56_4 = e3 & op(e3, e1) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11826) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11827) op(e3, e1) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (170), (11806), (11827),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #497.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11828) all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11828) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11829) all_56_5 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (134), (157),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (170), (206), (208), (213),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (227), (230), (232),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (239), (373), (9859), (9860),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862), (10958), (11685), (11774), (11776),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11779), (11785), (11786), (11796), (11805),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11806), (11819), (11829), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11830) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11830) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831) all_56_8 = e3 & op(e1, e1) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11831) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11832) op(e1, e1) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (79),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (117), (139), (157), (159), (162), (163),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (168), (169), (199), (206), (207),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (213), (214), (217), (218), (219),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (232), (233), (234), (235), (238),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (268), (309), (314), (318), (354), (358),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360), (373), (10950), (10951), (10957), (10958),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11774), (11775), (11776), (11777), (11779),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11799), (11805), (11806), (11809), (11810),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11832), (function-axioms) are inconsistent by
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1182.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11833) all_56_14 = e3 & op(e0, e1) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11833) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834) all_56_14 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (158), (207), (10958), (11681), (11824),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834), (function-axioms) are inconsistent by
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1039.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11835) all_56_9 = e0 & op(e3, e0) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11835) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11836) all_56_9 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11815), (11836) are inconsistent by
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1919.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11837) all_56_3 = e3 & op(e2, e2) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (11837) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11838) op(e2, e2) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11685), (11838), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1679.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11839) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (11839) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11840) all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (11840) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11841) all_56_5 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | (11842) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11806), (11842),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | #1211.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | (11843) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11843) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11844) all_56_4 = e2 & op(e3, e1) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (11844), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11845) all_56_9 = e2 & op(e3, e0) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11845) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11846) all_56_9 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (11847) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11779), (11805), (11847),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | #1131.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (11848) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11848) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11849) all_56_4 = e0 & op(e3, e1) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11849) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11850) all_56_4 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (134), (157),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (170), (206), (208), (213),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (227), (230), (232),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (239), (373), (9859), (9860),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (9862), (10958), (11685), (11774), (11776),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11779), (11785), (11786), (11796), (11805),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11806), (11841), (11850), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11851) all_56_9 = e0 & op(e3, e0) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11851) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11852) all_56_9 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11846), (11852) are inconsistent by
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1919.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11853) all_56_10 = e3 & op(e2, e0) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10951), (11853), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | (11854) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (10950), (11799), (11854),
% 190.23/29.59 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | #1296.
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | End of split
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | (11855) ~ (all_54_6 = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | (11856) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | REDUCE: (261), (11855) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | (11857) ~ (all_52_9 = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | BETA: splitting (11856) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | (11858) all_54_6 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11858) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | (11859) all_52_9 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | REDUCE: (9859), (11859) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | (11860) $false
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | CLOSE: (11860) is inconsistent.
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | (11861) ~ (all_54_6 = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | (11862) all_54_6 = e1 | all_54_6 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | BETA: splitting (11862) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11863) all_54_6 = e1
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11863) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11864) all_52_9 = e1
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | REDUCE: (11682), (11864) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11865) $false
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | CLOSE: (11865) is inconsistent.
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11866) all_54_6 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11866) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11867) all_52_9 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | REDUCE: (146), (11867) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11868) ~ (all_52_1 = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | REDUCE: (117), (11867) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11869) ~ (all_52_13 = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | SIMP: (11869) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11870) ~ (all_52_13 = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | REDUCE: (11857), (11867) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11871) ~ (e3 = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | REDUCE: (9859), (11867) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11872) ~ (e2 = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | REDUCE: (11682), (11867) imply:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | (11873) ~ (e1 = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11874) all_54_7 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10951), (11874) are inconsistent by
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11875) ~ (all_54_7 = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | (11876) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11877) all_56_15 = e0 & op(e0, e0) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (11877) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11878) op(e0, e0) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10958), (11878), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11879) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (11879) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | (11880) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | (11881) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11881) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11882) all_56_2 = e3 & op(e2, e3) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11882) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11883) all_56_2 = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | (11884) op(e2, e3) = e3
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (11885) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11884), (11885),
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | #1862.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | (11886) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11886) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11887) all_56_6 = e2 & op(e1, e3) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (11887), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11888) all_56_12 = e2 & op(e0, e3) = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11888) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | (11889) all_56_12 = e2
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | (11890) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11890) gives:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (11891) all_56_0 = e0 & op(e3, e3) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11891) implies:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (11892) op(e3, e3) = e0
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11779), (11892), (function-axioms) are
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (11893) all_56_2 = e0 & op(e2, e3) = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11893) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (11894) all_56_2 = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (10951), (11685),
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (11857), (11894), (function-axioms) are
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #581.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | (11895) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11895) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (11896) all_56_6 = e0 & op(e1, e3) = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11896) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (11897) all_56_6 = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11898) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11898) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11899) all_56_6 = e3 & op(e1, e3) = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11899) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11900) all_56_6 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (373), (10951),
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11857), (11900), (function-axioms) are
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1454.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11901) all_56_7 = e3 & op(e1, e2) = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11901) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11902) all_56_7 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11876) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11903) all_54_7 = e2
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11903) imply:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11904) all_52_13 = e2
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11904) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11905) all_52_13 = e2
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11905) imply:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11906) ~ (all_52_1 = e2)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11880) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11907) all_56_12 = e0 & op(e0, e3) = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11889), (11907) are inconsistent by
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1592.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11908) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11908) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11909) all_56_13 = e0 & op(e0, e2) = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11909) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11910) op(e0, e2) = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11911) all_54_4 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11911) imply:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11912) all_52_1 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11912) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11913) all_52_1 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11913) imply:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11914) ~ (all_52_2 = e3)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11914) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11915) ~ (all_52_2 = e3)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11916) all_54_8 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11915), (11916) are inconsistent by
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1162.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11917) ~ (all_54_8 = e3)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11918) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11918) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11919) all_54_8 = e2
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9856), (11919) are inconsistent by
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1258.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11920) ~ (all_54_8 = e2)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11921) all_54_8 = e1 | all_54_8 = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11921) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11922) all_54_8 = e1
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11774), (11922) are inconsistent by
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1367.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11923) all_54_8 = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (11923) imply:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11924) all_52_2 = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11924) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11925) all_52_2 = e0
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (11925) imply:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11926) ~ (all_52_3 = e0)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11926) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11927) ~ (all_52_3 = e0)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11925) imply:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11928) ~ (all_52_6 = e0)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11928) implies:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11929) ~ (all_52_6 = e0)
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11930) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11930) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11931) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11931) gives:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11932) (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10958), (11685), (11910), (11932),
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #674.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11933) (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11774), (11915), (11933),
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #510.
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11934) (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.23/29.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_12 = e3 &